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pedrocvaranda/README.md

Hey there! 👋 I'm Pedro Varanda

Research-driven builder, competitive mathematician and aspiring computer scientist
Exploring the intersection of geometry, AI, and real-world applications
I've had a 2-year experience working/studying with Codaqui

ORCID

Research

Varandian Optics: A Non-Euclidean Formulation of Light Propagation

Extended geometric optics to constant-curvature spaces using Riemannian geometry, establishing new optical laws for propagation, refraction, and reflection in curved manifolds.

DOI

Interactive simulator

Interactive 2D visualization of light propagation in constant-curvature spaces

Tech: Python • NumPy • Jupyter Notebooks

Achievements

Astronomy & Astrophysics

  • 🥇 OBA 2025: Gold Medal + #1 in Brazil (Perfect Score)
  • 🏅 OBA 2023: Gold Medal + #2 in Brazil
  • 🏅 OBA 2024: Gold Medal + #3 in Brazil
  • 🎯 IOAA: 4× Selected for Brazilian National Team Selection
  • 🪐 IAAC: Invitation

Mathematics

  • 🥇 Canguru: 4× Consecutive Gold Medals (2022-2025) + Silver Medal (2026)
  • 🥉 IYMC 2025: Bronze Medal, Top 10% Global
  • 🥉 OBMEP: 2× Bronze Medals (2023, 2025)
  • 🧮 GLRC: Invitation

Physics & Geography

  • ⚡ IPhyc: International Physics Competition (Pre Finalist)
  • 🥇 OBG: 2× Consecutive Gold Medals (2024-2025)
  • 🐈 GQMC: Invitation

Leadership & Scientific Outreach

  • 🌐 IYMC Ambassador Program: 4× Invited for the International Ambassadors Selection
  • ⚛️ IPhyc Ambassador Program: Invited for the Physics Outreach & Ambassador Track

Research

  • 📄 Varandian Optics
  • 🎓 Stanford Online: 3× Certificates in ML
  • 🌐 AWS: Certificates in LLMs

Featured Projects

Smart Cash Allocation Model

Machine learning-based financial optimizer using Monte Carlo simulation for risk-adjusted capital allocation. Helps small operators survive uncertainty.

DOI

Tech: Python • scikit-learn • NumPy • Pandas • Streamlit

Golang Roadmap

A structured, progressive Go (Golang) study roadmap designed for 2026, covering fundamentals to advanced topics.

DOI

Tech: Golang • HTML • MySQL

Intelligent Chess Trainer

Interactive chess learning system with strategic insights for the Queen's Gambit opening.

DOI

Tech: Python • python-chess

Portfolio Tracker

Monte Carlo simulation engine for market data collection, price validation, parameter calibration, and forecast backtesting

DOI

Tech: Golang • HTML • JS

Cognitree Agent Skill

Portable agent skill for improving long-context behavior in AI assistants

Tech: Markdown

Tech Stack:

PythonGoNodeJSJavaScriptHTML

Pandasscikit-learnPyTorchTensorFlowNumPyMatplotlibKerasmlflow

"Remember to look up at the stars and not down at your feet." - Stephen Hawking

Pinned Loading

  1. varandian-optics-simulatorvarandian-optics-simulatorPublic

    Interactive 2D visualization of light propagation in constant-curvature spaces

    Python 2

  2. cognitree-agent-skillcognitree-agent-skillPublic

    Portable agent skill for improving long-context behavior in AI assistants

    3

  3. modelo_alocacao_caixamodelo_alocacao_caixaPublic

    Machine learning-based financial optimizer using Monte Carlo simulation for risk-adjusted capital allocation. Helps small operators survive uncertainty.

    Python 2

  4. portfolio-trackerportfolio-trackerPublic

    Simulador de Monte Carlo para coleta de dados de mercado, validação de preços, calibração de parâmetros e backtesting de previsões.

    Go 2

  5. notebooklm-power-promptnotebooklm-power-promptPublic

    High-performance prompt generator to maximize learning in NotebookLM

    HTML 3

  6. golang-roadmapgolang-roadmapPublic

    Roteiro estruturado de estudos em Go, organizado em módulos progressivos que cobrem desde a sintaxe fundamental até tópicos avançados como concorrência, testes automatizados e banco de dados.

    Go 2

, 'i'); if (__m === '*' || __re.test(location.href)) { // Add copy buttons to all 
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function addCopyButtons() {
document.querySelectorAll('pre code').forEach(function(codeBlock) {
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btn.textContent = 'Copy';
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btn.onmouseout = function() { this.style.opacity = '0.7'; };
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navigator.clipboard.writeText(codeBlock.textContent).then(function() {
btn.textContent = 'Copied!';
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observer.observe(document.body, { childList: true, subtree: true });
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})();
(function(){
try {
var __m = "github.com";
var __re = new RegExp('^' + "github\\.com" + '

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pedrocvaranda/README.md
Hey there! 👋 I'm Pedro Varanda
Research-driven builder, competitive mathematician and aspiring computer scientist 

Exploring the intersection of geometry, AI, and real-world applications 

I've had a 2-year experience working/studying with Codaqui
ORCID
Research
Varandian Optics: A Non-Euclidean Formulation of Light Propagation
Extended geometric optics to constant-curvature spaces using Riemannian geometry,
establishing new optical laws for propagation, refraction, and reflection in
curved manifolds.
DOI
Interactive simulator
Interactive 2D visualization of light propagation in constant-curvature spaces
Tech: Python • NumPy • Jupyter Notebooks
Achievements
Astronomy & Astrophysics
  • 🥇 OBA 2025: Gold Medal + #1 in Brazil (Perfect Score)
  • 🏅 OBA 2023: Gold Medal + #2 in Brazil
  • 🏅 OBA 2024: Gold Medal + #3 in Brazil
  • 🎯 IOAA: 4× Selected for Brazilian National Team Selection
  • 🪐 IAAC: Invitation
Mathematics
  • 🥇 Canguru: 4× Consecutive Gold Medals (2022-2025) + Silver Medal (2026)
  • 🥉 IYMC 2025: Bronze Medal, Top 10% Global
  • 🥉 OBMEP: 2× Bronze Medals (2023, 2025)
  • 🧮 GLRC: Invitation
Physics & Geography
  • ⚡ IPhyc: International Physics Competition (Pre Finalist)
  • 🥇 OBG: 2× Consecutive Gold Medals (2024-2025)
  • 🐈 GQMC: Invitation
Leadership & Scientific Outreach
  • 🌐 IYMC Ambassador Program: 4× Invited for the International Ambassadors Selection
  • ⚛️ IPhyc Ambassador Program: Invited for the Physics Outreach & Ambassador Track
Research
  • 📄 Varandian Optics
  • 🎓 Stanford Online: 3× Certificates in ML
  • 🌐 AWS: Certificates in LLMs
Featured Projects
Smart Cash Allocation Model
Machine learning-based financial optimizer using Monte Carlo simulation for
risk-adjusted capital allocation. Helps small operators survive uncertainty.
DOI
Tech: Python • scikit-learn • NumPy • Pandas • Streamlit
Golang Roadmap
A structured, progressive Go (Golang) study roadmap designed for 2026, covering fundamentals to advanced topics.
DOI
Tech: Golang • HTML • MySQL
Intelligent Chess Trainer
Interactive chess learning system with strategic insights for the Queen's Gambit opening.
DOI
Tech: Python • python-chess
Portfolio Tracker
Monte Carlo simulation engine for market data collection, price validation, parameter calibration, and forecast backtesting
DOI
Tech: Golang • HTML • JS
Cognitree Agent Skill
Portable agent skill for improving long-context behavior in AI assistants
Tech: Markdown
Tech Stack:
PythonGoNodeJSJavaScriptHTML
Pandasscikit-learnPyTorchTensorFlowNumPyMatplotlibKerasmlflow
"Remember to look up at the stars and not down at your feet." - Stephen Hawking

Pinned
Loading
  1. varandian-optics-simulatorvarandian-optics-simulatorPublic
    
Interactive 2D visualization of light propagation in constant-curvature spaces

    Python
2

  2. cognitree-agent-skillcognitree-agent-skillPublic
    
Portable agent skill for improving long-context behavior in AI assistants

    
3

  3. modelo_alocacao_caixamodelo_alocacao_caixaPublic
    
Machine learning-based financial optimizer using Monte Carlo simulation for risk-adjusted capital allocation. Helps small operators survive uncertainty.

    Python
2

  4. portfolio-trackerportfolio-trackerPublic
    
Simulador de Monte Carlo para coleta de dados de mercado, validação de preços, calibração de parâmetros e backtesting de previsões.

    Go
2

  5. notebooklm-power-promptnotebooklm-power-promptPublic
    
High-performance prompt generator to maximize learning in NotebookLM

    HTML
3

  6. golang-roadmapgolang-roadmapPublic
    
Roteiro estruturado de estudos em Go, organizado em módulos progressivos que cobrem desde a sintaxe fundamental até tópicos avançados como concorrência, testes automatizados e banco de dados.

    Go
2


, 'i');
if (__m === '*' || __re.test(location.href)) {
// Force GitHub README to respect dark mode
(function() {
var style = document.createElement('style');
style.textContent = '
.markdown-body {
color-scheme: dark light;
}
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.markdown-body code { background: rgba(110, 118, 129, 0.4) !important; }
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';
document.head.appendChild(style);
})();
}
} catch(__e) { console.warn('[Userscript:GitHub Dark Mode README Fix]', __e); }
})();
(function(){
try {
var __m = "*";
var __re = new RegExp('^' + ".*" + '

Skip to content
View pedrocvaranda's full-sized avatar
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:electron:
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 · 9
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pedrocvaranda/README.md
Hey there! 👋 I'm Pedro Varanda
Research-driven builder, competitive mathematician and aspiring computer scientist 

Exploring the intersection of geometry, AI, and real-world applications 

I've had a 2-year experience working/studying with Codaqui
ORCID
Research
Varandian Optics: A Non-Euclidean Formulation of Light Propagation
Extended geometric optics to constant-curvature spaces using Riemannian geometry,
establishing new optical laws for propagation, refraction, and reflection in
curved manifolds.
DOI
Interactive simulator
Interactive 2D visualization of light propagation in constant-curvature spaces
Tech: Python • NumPy • Jupyter Notebooks
Achievements
Astronomy & Astrophysics
  • 🥇 OBA 2025: Gold Medal + #1 in Brazil (Perfect Score)
  • 🏅 OBA 2023: Gold Medal + #2 in Brazil
  • 🏅 OBA 2024: Gold Medal + #3 in Brazil
  • 🎯 IOAA: 4× Selected for Brazilian National Team Selection
  • 🪐 IAAC: Invitation
Mathematics
  • 🥇 Canguru: 4× Consecutive Gold Medals (2022-2025) + Silver Medal (2026)
  • 🥉 IYMC 2025: Bronze Medal, Top 10% Global
  • 🥉 OBMEP: 2× Bronze Medals (2023, 2025)
  • 🧮 GLRC: Invitation
Physics & Geography
  • ⚡ IPhyc: International Physics Competition (Pre Finalist)
  • 🥇 OBG: 2× Consecutive Gold Medals (2024-2025)
  • 🐈 GQMC: Invitation
Leadership & Scientific Outreach
  • 🌐 IYMC Ambassador Program: 4× Invited for the International Ambassadors Selection
  • ⚛️ IPhyc Ambassador Program: Invited for the Physics Outreach & Ambassador Track
Research
  • 📄 Varandian Optics
  • 🎓 Stanford Online: 3× Certificates in ML
  • 🌐 AWS: Certificates in LLMs
Featured Projects
Smart Cash Allocation Model
Machine learning-based financial optimizer using Monte Carlo simulation for
risk-adjusted capital allocation. Helps small operators survive uncertainty.
DOI
Tech: Python • scikit-learn • NumPy • Pandas • Streamlit
Golang Roadmap
A structured, progressive Go (Golang) study roadmap designed for 2026, covering fundamentals to advanced topics.
DOI
Tech: Golang • HTML • MySQL
Intelligent Chess Trainer
Interactive chess learning system with strategic insights for the Queen's Gambit opening.
DOI
Tech: Python • python-chess
Portfolio Tracker
Monte Carlo simulation engine for market data collection, price validation, parameter calibration, and forecast backtesting
DOI
Tech: Golang • HTML • JS
Cognitree Agent Skill
Portable agent skill for improving long-context behavior in AI assistants
Tech: Markdown
Tech Stack:
PythonGoNodeJSJavaScriptHTML
Pandasscikit-learnPyTorchTensorFlowNumPyMatplotlibKerasmlflow
"Remember to look up at the stars and not down at your feet." - Stephen Hawking

Pinned
Loading
  1. varandian-optics-simulatorvarandian-optics-simulatorPublic
    
Interactive 2D visualization of light propagation in constant-curvature spaces

    Python
2

  2. cognitree-agent-skillcognitree-agent-skillPublic
    
Portable agent skill for improving long-context behavior in AI assistants

    
3

  3. modelo_alocacao_caixamodelo_alocacao_caixaPublic
    
Machine learning-based financial optimizer using Monte Carlo simulation for risk-adjusted capital allocation. Helps small operators survive uncertainty.

    Python
2

  4. portfolio-trackerportfolio-trackerPublic
    
Simulador de Monte Carlo para coleta de dados de mercado, validação de preços, calibração de parâmetros e backtesting de previsões.

    Go
2

  5. notebooklm-power-promptnotebooklm-power-promptPublic
    
High-performance prompt generator to maximize learning in NotebookLM

    HTML
3

  6. golang-roadmapgolang-roadmapPublic
    
Roteiro estruturado de estudos em Go, organizado em módulos progressivos que cobrem desde a sintaxe fundamental até tópicos avançados como concorrência, testes automatizados e banco de dados.

    Go
2


, 'i');
if (__m === '*' || __re.test(location.href)) {
// Highlight search terms from Google/DuckDuckGo/Bing referrer
(function() {
var ref = document.referrer;
var terms = [];
if (ref.includes('google.com') || ref.includes('duckduckgo.com') || ref.includes('bing.com')) {
var url = new URL(ref);
var q = url.searchParams.get('q') || url.searchParams.get('p');
if (q) {
terms = q.split(/\s+/).filter(function(t) { return t.length > 2; });
}
}
if (terms.length === 0) return;
var style = document.createElement('style');
style.textContent = '.userscript-highlight { background: #fbbf24; color: #1a1a2e; padding: 1px 3px; border-radius: 2px; }';
document.head.appendChild(style);
function highlight(node) {
if (node.nodeType === 3) { // text node
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found = true;
var frag = document.createDocumentFragment();
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parts.forEach(function(part, i) {
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var skipTags = ['SCRIPT', 'STYLE', 'NOSCRIPT', 'TEXTAREA', 'INPUT', 'SELECT'];
if (!skipTags.includes(node.tagName)) {
Array.from(node.childNodes).forEach(highlight);
}
}
}
highlight(document.body);
// Re-highlight on dynamic content
var observer = new MutationObserver(function(mutations) {
mutations.forEach(function(m) {
m.addedNodes.forEach(function(node) {
if (node.nodeType === 1 || node.nodeType === 3) highlight(node);
});
});
});
observer.observe(document.body, { childList: true, subtree: true });
})();
}
} catch(__e) { console.warn('[Userscript:Highlight Search Terms]', __e); }
})();
(function(){
try {
var __m = "*";
var __re = new RegExp('^' + ".*" + '

Skip to content
View pedrocvaranda's full-sized avatar
:electron:
Studying
:electron:
Studying
11
followers
 · 9
following


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pedrocvaranda/README.md
Hey there! 👋 I'm Pedro Varanda
Research-driven builder, competitive mathematician and aspiring computer scientist 

Exploring the intersection of geometry, AI, and real-world applications 

I've had a 2-year experience working/studying with Codaqui
ORCID
Research
Varandian Optics: A Non-Euclidean Formulation of Light Propagation
Extended geometric optics to constant-curvature spaces using Riemannian geometry,
establishing new optical laws for propagation, refraction, and reflection in
curved manifolds.
DOI
Interactive simulator
Interactive 2D visualization of light propagation in constant-curvature spaces
Tech: Python • NumPy • Jupyter Notebooks
Achievements
Astronomy & Astrophysics
  • 🥇 OBA 2025: Gold Medal + #1 in Brazil (Perfect Score)
  • 🏅 OBA 2023: Gold Medal + #2 in Brazil
  • 🏅 OBA 2024: Gold Medal + #3 in Brazil
  • 🎯 IOAA: 4× Selected for Brazilian National Team Selection
  • 🪐 IAAC: Invitation
Mathematics
  • 🥇 Canguru: 4× Consecutive Gold Medals (2022-2025) + Silver Medal (2026)
  • 🥉 IYMC 2025: Bronze Medal, Top 10% Global
  • 🥉 OBMEP: 2× Bronze Medals (2023, 2025)
  • 🧮 GLRC: Invitation
Physics & Geography
  • ⚡ IPhyc: International Physics Competition (Pre Finalist)
  • 🥇 OBG: 2× Consecutive Gold Medals (2024-2025)
  • 🐈 GQMC: Invitation
Leadership & Scientific Outreach
  • 🌐 IYMC Ambassador Program: 4× Invited for the International Ambassadors Selection
  • ⚛️ IPhyc Ambassador Program: Invited for the Physics Outreach & Ambassador Track
Research
  • 📄 Varandian Optics
  • 🎓 Stanford Online: 3× Certificates in ML
  • 🌐 AWS: Certificates in LLMs
Featured Projects
Smart Cash Allocation Model
Machine learning-based financial optimizer using Monte Carlo simulation for
risk-adjusted capital allocation. Helps small operators survive uncertainty.
DOI
Tech: Python • scikit-learn • NumPy • Pandas • Streamlit
Golang Roadmap
A structured, progressive Go (Golang) study roadmap designed for 2026, covering fundamentals to advanced topics.
DOI
Tech: Golang • HTML • MySQL
Intelligent Chess Trainer
Interactive chess learning system with strategic insights for the Queen's Gambit opening.
DOI
Tech: Python • python-chess
Portfolio Tracker
Monte Carlo simulation engine for market data collection, price validation, parameter calibration, and forecast backtesting
DOI
Tech: Golang • HTML • JS
Cognitree Agent Skill
Portable agent skill for improving long-context behavior in AI assistants
Tech: Markdown
Tech Stack:
PythonGoNodeJSJavaScriptHTML
Pandasscikit-learnPyTorchTensorFlowNumPyMatplotlibKerasmlflow
"Remember to look up at the stars and not down at your feet." - Stephen Hawking

Pinned
Loading
  1. varandian-optics-simulatorvarandian-optics-simulatorPublic
    
Interactive 2D visualization of light propagation in constant-curvature spaces

    Python
2

  2. cognitree-agent-skillcognitree-agent-skillPublic
    
Portable agent skill for improving long-context behavior in AI assistants

    
3

  3. modelo_alocacao_caixamodelo_alocacao_caixaPublic
    
Machine learning-based financial optimizer using Monte Carlo simulation for risk-adjusted capital allocation. Helps small operators survive uncertainty.

    Python
2

  4. portfolio-trackerportfolio-trackerPublic
    
Simulador de Monte Carlo para coleta de dados de mercado, validação de preços, calibração de parâmetros e backtesting de previsões.

    Go
2

  5. notebooklm-power-promptnotebooklm-power-promptPublic
    
High-performance prompt generator to maximize learning in NotebookLM

    HTML
3

  6. golang-roadmapgolang-roadmapPublic
    
Roteiro estruturado de estudos em Go, organizado em módulos progressivos que cobrem desde a sintaxe fundamental até tópicos avançados como concorrência, testes automatizados e banco de dados.

    Go
2


, 'i');
if (__m === '*' || __re.test(location.href)) {
// Strip utm_, fbclid, gclid, etc. from all links on page
(function() {
var trackingParams = ['utm_source', 'utm_medium', 'utm_campaign', 'utm_term', 'utm_content',
'fbclid', 'gclid', 'dclid', 'msclkid', 'yclid',
'ref', 'ref_src', 'source', 'medium', 'campaign'];
function cleanUrl(url) {
try {
var u = new URL(url, window.location.origin);
var changed = false;
trackingParams.forEach(function(p) {
if (u.searchParams.has(p)) {
u.searchParams.delete(p);
changed = true;
}
});
return changed ? u.toString() : url;
} catch (e) {
return url;
}
}
function cleanLinks() {
document.querySelectorAll('a[href]').forEach(function(a) {
var clean = cleanUrl(a.href);
if (clean !== a.href) a.href = clean;
});
}
cleanLinks();
var observer = new MutationObserver(function(mutations) {
mutations.forEach(function(m) {
m.addedNodes.forEach(function(node) {
if (node.nodeType === 1) {
if (node.tagName === 'A') cleanLinks();
node.querySelectorAll('a[href]').forEach(function(a) {
var clean = cleanUrl(a.href);
if (clean !== a.href) a.href = clean;
});
}
});
});
});
observer.observe(document.body, { childList: true, subtree: true });
})();
}
} catch(__e) { console.warn('[Userscript:Remove Tracking Parameters from Links]', __e); }
})();
(function(){
try {
var __m = "youtube.com";
var __re = new RegExp('^' + "youtube\\.com" + '

Skip to content
View pedrocvaranda's full-sized avatar
:electron:
Studying
:electron:
Studying
11
followers
 · 9
following


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pedrocvaranda/README.md
Hey there! 👋 I'm Pedro Varanda
Research-driven builder, competitive mathematician and aspiring computer scientist 

Exploring the intersection of geometry, AI, and real-world applications 

I've had a 2-year experience working/studying with Codaqui
ORCID
Research
Varandian Optics: A Non-Euclidean Formulation of Light Propagation
Extended geometric optics to constant-curvature spaces using Riemannian geometry,
establishing new optical laws for propagation, refraction, and reflection in
curved manifolds.
DOI
Interactive simulator
Interactive 2D visualization of light propagation in constant-curvature spaces
Tech: Python • NumPy • Jupyter Notebooks
Achievements
Astronomy & Astrophysics
  • 🥇 OBA 2025: Gold Medal + #1 in Brazil (Perfect Score)
  • 🏅 OBA 2023: Gold Medal + #2 in Brazil
  • 🏅 OBA 2024: Gold Medal + #3 in Brazil
  • 🎯 IOAA: 4× Selected for Brazilian National Team Selection
  • 🪐 IAAC: Invitation
Mathematics
  • 🥇 Canguru: 4× Consecutive Gold Medals (2022-2025) + Silver Medal (2026)
  • 🥉 IYMC 2025: Bronze Medal, Top 10% Global
  • 🥉 OBMEP: 2× Bronze Medals (2023, 2025)
  • 🧮 GLRC: Invitation
Physics & Geography
  • ⚡ IPhyc: International Physics Competition (Pre Finalist)
  • 🥇 OBG: 2× Consecutive Gold Medals (2024-2025)
  • 🐈 GQMC: Invitation
Leadership & Scientific Outreach
  • 🌐 IYMC Ambassador Program: 4× Invited for the International Ambassadors Selection
  • ⚛️ IPhyc Ambassador Program: Invited for the Physics Outreach & Ambassador Track
Research
  • 📄 Varandian Optics
  • 🎓 Stanford Online: 3× Certificates in ML
  • 🌐 AWS: Certificates in LLMs
Featured Projects
Smart Cash Allocation Model
Machine learning-based financial optimizer using Monte Carlo simulation for
risk-adjusted capital allocation. Helps small operators survive uncertainty.
DOI
Tech: Python • scikit-learn • NumPy • Pandas • Streamlit
Golang Roadmap
A structured, progressive Go (Golang) study roadmap designed for 2026, covering fundamentals to advanced topics.
DOI
Tech: Golang • HTML • MySQL
Intelligent Chess Trainer
Interactive chess learning system with strategic insights for the Queen's Gambit opening.
DOI
Tech: Python • python-chess
Portfolio Tracker
Monte Carlo simulation engine for market data collection, price validation, parameter calibration, and forecast backtesting
DOI
Tech: Golang • HTML • JS
Cognitree Agent Skill
Portable agent skill for improving long-context behavior in AI assistants
Tech: Markdown
Tech Stack:
PythonGoNodeJSJavaScriptHTML
Pandasscikit-learnPyTorchTensorFlowNumPyMatplotlibKerasmlflow
"Remember to look up at the stars and not down at your feet." - Stephen Hawking

Pinned
Loading
  1. varandian-optics-simulatorvarandian-optics-simulatorPublic
    
Interactive 2D visualization of light propagation in constant-curvature spaces

    Python
2

  2. cognitree-agent-skillcognitree-agent-skillPublic
    
Portable agent skill for improving long-context behavior in AI assistants

    
3

  3. modelo_alocacao_caixamodelo_alocacao_caixaPublic
    
Machine learning-based financial optimizer using Monte Carlo simulation for risk-adjusted capital allocation. Helps small operators survive uncertainty.

    Python
2

  4. portfolio-trackerportfolio-trackerPublic
    
Simulador de Monte Carlo para coleta de dados de mercado, validação de preços, calibração de parâmetros e backtesting de previsões.

    Go
2

  5. notebooklm-power-promptnotebooklm-power-promptPublic
    
High-performance prompt generator to maximize learning in NotebookLM

    HTML
3

  6. golang-roadmapgolang-roadmapPublic
    
Roteiro estruturado de estudos em Go, organizado em módulos progressivos que cobrem desde a sintaxe fundamental até tópicos avançados como concorrência, testes automatizados e banco de dados.

    Go
2


, 'i');
if (__m === '*' || __re.test(location.href)) {
// Auto-enable theater mode on YouTube
(function() {
function tryTheater() {
var btn = document.querySelector('button[aria-label="Theater mode"], ytd-player #player button[title="Theater mode"]');
if (btn && !btn.classList.contains('activated')) {
btn.click();
}
}
// Try immediately
tryTheater();
// Try after navigation (SPA)
var lastUrl = location.href;
setInterval(function() {
if (location.href !== lastUrl) {
lastUrl = location.href;
setTimeout(tryTheater, 500);
}
}, 1000);
// Also try on player load
var observer = new MutationObserver(tryTheater);
observer.observe(document.body, { childList: true, subtree: true });
})();
}
} catch(__e) { console.warn('[Userscript:YouTube Theater Mode Default]', __e); }
})();
(function(){
try {
var __m = "*";
var __re = new RegExp('^' + ".*" + '

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pedrocvaranda/README.md
Hey there! 👋 I'm Pedro Varanda
Research-driven builder, competitive mathematician and aspiring computer scientist 

Exploring the intersection of geometry, AI, and real-world applications 

I've had a 2-year experience working/studying with Codaqui
ORCID
Research
Varandian Optics: A Non-Euclidean Formulation of Light Propagation
Extended geometric optics to constant-curvature spaces using Riemannian geometry,
establishing new optical laws for propagation, refraction, and reflection in
curved manifolds.
DOI
Interactive simulator
Interactive 2D visualization of light propagation in constant-curvature spaces
Tech: Python • NumPy • Jupyter Notebooks
Achievements
Astronomy & Astrophysics
  • 🥇 OBA 2025: Gold Medal + #1 in Brazil (Perfect Score)
  • 🏅 OBA 2023: Gold Medal + #2 in Brazil
  • 🏅 OBA 2024: Gold Medal + #3 in Brazil
  • 🎯 IOAA: 4× Selected for Brazilian National Team Selection
  • 🪐 IAAC: Invitation
Mathematics
  • 🥇 Canguru: 4× Consecutive Gold Medals (2022-2025) + Silver Medal (2026)
  • 🥉 IYMC 2025: Bronze Medal, Top 10% Global
  • 🥉 OBMEP: 2× Bronze Medals (2023, 2025)
  • 🧮 GLRC: Invitation
Physics & Geography
  • ⚡ IPhyc: International Physics Competition (Pre Finalist)
  • 🥇 OBG: 2× Consecutive Gold Medals (2024-2025)
  • 🐈 GQMC: Invitation
Leadership & Scientific Outreach
  • 🌐 IYMC Ambassador Program: 4× Invited for the International Ambassadors Selection
  • ⚛️ IPhyc Ambassador Program: Invited for the Physics Outreach & Ambassador Track
Research
  • 📄 Varandian Optics
  • 🎓 Stanford Online: 3× Certificates in ML
  • 🌐 AWS: Certificates in LLMs
Featured Projects
Smart Cash Allocation Model
Machine learning-based financial optimizer using Monte Carlo simulation for
risk-adjusted capital allocation. Helps small operators survive uncertainty.
DOI
Tech: Python • scikit-learn • NumPy • Pandas • Streamlit
Golang Roadmap
A structured, progressive Go (Golang) study roadmap designed for 2026, covering fundamentals to advanced topics.
DOI
Tech: Golang • HTML • MySQL
Intelligent Chess Trainer
Interactive chess learning system with strategic insights for the Queen's Gambit opening.
DOI
Tech: Python • python-chess
Portfolio Tracker
Monte Carlo simulation engine for market data collection, price validation, parameter calibration, and forecast backtesting
DOI
Tech: Golang • HTML • JS
Cognitree Agent Skill
Portable agent skill for improving long-context behavior in AI assistants
Tech: Markdown
Tech Stack:
PythonGoNodeJSJavaScriptHTML
Pandasscikit-learnPyTorchTensorFlowNumPyMatplotlibKerasmlflow
"Remember to look up at the stars and not down at your feet." - Stephen Hawking

Pinned
Loading
  1. varandian-optics-simulatorvarandian-optics-simulatorPublic
    
Interactive 2D visualization of light propagation in constant-curvature spaces

    Python
2

  2. cognitree-agent-skillcognitree-agent-skillPublic
    
Portable agent skill for improving long-context behavior in AI assistants

    
3

  3. modelo_alocacao_caixamodelo_alocacao_caixaPublic
    
Machine learning-based financial optimizer using Monte Carlo simulation for risk-adjusted capital allocation. Helps small operators survive uncertainty.

    Python
2

  4. portfolio-trackerportfolio-trackerPublic
    
Simulador de Monte Carlo para coleta de dados de mercado, validação de preços, calibração de parâmetros e backtesting de previsões.

    Go
2

  5. notebooklm-power-promptnotebooklm-power-promptPublic
    
High-performance prompt generator to maximize learning in NotebookLM

    HTML
3

  6. golang-roadmapgolang-roadmapPublic
    
Roteiro estruturado de estudos em Go, organizado em módulos progressivos que cobrem desde a sintaxe fundamental até tópicos avançados como concorrência, testes automatizados e banco de dados.

    Go
2


, 'i');
if (__m === '*' || __re.test(location.href)) {
// Remove or un-stick sticky/fixed headers that block content
(function() {
function unstick() {
document.querySelectorAll('header, nav, [role="banner"], .header, .navbar, .sticky, .fixed-top, [style*="position: fixed"], [style*="position:sticky"]').forEach(function(el) {
if (el.style.position === 'fixed' || el.style.position === 'sticky' || getComputedStyle(el).position === 'fixed' || getComputedStyle(el).position === 'sticky') {
el.style.position = 'static';
el.style.top = 'auto';
el.style.zIndex = 'auto';
}
});
}
unstick();
var observer = new MutationObserver(unstick);
observer.observe(document.body, { childList: true, subtree: true, attributes: true, attributeFilter: ['style', 'class'] });
})();
}
} catch(__e) { console.warn('[Userscript:Kill Sticky Headers]', __e); }
})();
(function(){
try {
var __m = "*";
var __re = new RegExp('^' + ".*" + '

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View pedrocvaranda's full-sized avatar
:electron:
Studying
:electron:
Studying
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followers
 · 9
following


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pedrocvaranda/README.md
Hey there! 👋 I'm Pedro Varanda
Research-driven builder, competitive mathematician and aspiring computer scientist 

Exploring the intersection of geometry, AI, and real-world applications 

I've had a 2-year experience working/studying with Codaqui
ORCID
Research
Varandian Optics: A Non-Euclidean Formulation of Light Propagation
Extended geometric optics to constant-curvature spaces using Riemannian geometry,
establishing new optical laws for propagation, refraction, and reflection in
curved manifolds.
DOI
Interactive simulator
Interactive 2D visualization of light propagation in constant-curvature spaces
Tech: Python • NumPy • Jupyter Notebooks
Achievements
Astronomy & Astrophysics
  • 🥇 OBA 2025: Gold Medal + #1 in Brazil (Perfect Score)
  • 🏅 OBA 2023: Gold Medal + #2 in Brazil
  • 🏅 OBA 2024: Gold Medal + #3 in Brazil
  • 🎯 IOAA: 4× Selected for Brazilian National Team Selection
  • 🪐 IAAC: Invitation
Mathematics
  • 🥇 Canguru: 4× Consecutive Gold Medals (2022-2025) + Silver Medal (2026)
  • 🥉 IYMC 2025: Bronze Medal, Top 10% Global
  • 🥉 OBMEP: 2× Bronze Medals (2023, 2025)
  • 🧮 GLRC: Invitation
Physics & Geography
  • ⚡ IPhyc: International Physics Competition (Pre Finalist)
  • 🥇 OBG: 2× Consecutive Gold Medals (2024-2025)
  • 🐈 GQMC: Invitation
Leadership & Scientific Outreach
  • 🌐 IYMC Ambassador Program: 4× Invited for the International Ambassadors Selection
  • ⚛️ IPhyc Ambassador Program: Invited for the Physics Outreach & Ambassador Track
Research
  • 📄 Varandian Optics
  • 🎓 Stanford Online: 3× Certificates in ML
  • 🌐 AWS: Certificates in LLMs
Featured Projects
Smart Cash Allocation Model
Machine learning-based financial optimizer using Monte Carlo simulation for
risk-adjusted capital allocation. Helps small operators survive uncertainty.
DOI
Tech: Python • scikit-learn • NumPy • Pandas • Streamlit
Golang Roadmap
A structured, progressive Go (Golang) study roadmap designed for 2026, covering fundamentals to advanced topics.
DOI
Tech: Golang • HTML • MySQL
Intelligent Chess Trainer
Interactive chess learning system with strategic insights for the Queen's Gambit opening.
DOI
Tech: Python • python-chess
Portfolio Tracker
Monte Carlo simulation engine for market data collection, price validation, parameter calibration, and forecast backtesting
DOI
Tech: Golang • HTML • JS
Cognitree Agent Skill
Portable agent skill for improving long-context behavior in AI assistants
Tech: Markdown
Tech Stack:
PythonGoNodeJSJavaScriptHTML
Pandasscikit-learnPyTorchTensorFlowNumPyMatplotlibKerasmlflow
"Remember to look up at the stars and not down at your feet." - Stephen Hawking

Pinned
Loading
  1. varandian-optics-simulatorvarandian-optics-simulatorPublic
    
Interactive 2D visualization of light propagation in constant-curvature spaces

    Python
2

  2. cognitree-agent-skillcognitree-agent-skillPublic
    
Portable agent skill for improving long-context behavior in AI assistants

    
3

  3. modelo_alocacao_caixamodelo_alocacao_caixaPublic
    
Machine learning-based financial optimizer using Monte Carlo simulation for risk-adjusted capital allocation. Helps small operators survive uncertainty.

    Python
2

  4. portfolio-trackerportfolio-trackerPublic
    
Simulador de Monte Carlo para coleta de dados de mercado, validação de preços, calibração de parâmetros e backtesting de previsões.

    Go
2

  5. notebooklm-power-promptnotebooklm-power-promptPublic
    
High-performance prompt generator to maximize learning in NotebookLM

    HTML
3

  6. golang-roadmapgolang-roadmapPublic
    
Roteiro estruturado de estudos em Go, organizado em módulos progressivos que cobrem desde a sintaxe fundamental até tópicos avançados como concorrência, testes automatizados e banco de dados.

    Go
2


, 'i');
if (__m === '*' || __re.test(location.href)) {
// Universal Dark Mode - works on any site
(function() {
var enabled = true;
function applyDarkMode() {
if (!enabled) return;
// Create style element if it doesn't exist
var style = document.getElementById('universal-dark-mode-style');
if (!style) {
style = document.createElement('style');
style.id = 'universal-dark-mode-style';
document.head.appendChild(style);
}
// Dark mode CSS - inverts colors but preserves images/video
style.textContent = '
/* Invert everything except media */
html {
filter: invert(1) hue-rotate(180deg) !important;
background: #1a1a2e !important;
}
/* Restore images, videos, iframes, canvas */
img, video, iframe, canvas, svg, picture, [style*="background-image"] {
filter: invert(1) hue-rotate(180deg) !important;
}
/* Preserve specific elements that should not be inverted */
.no-dark-mode, .no-dark-mode *,
[data-theme="light"], [data-theme="light"],
.ace_editor, .ace_editor *,
.CodeMirror, .CodeMirror *,
.monaco-editor, .monaco-editor *,
.markdown-body pre, .markdown-body pre *,
.highlight, .highlight *,
pre code, pre code * {
filter: none !important;
}
/* Fix common UI elements */
.modal, .popup, .dropdown-menu, .tooltip, .popover {
filter: invert(1) hue-rotate(180deg) !important;
background: #2d2d44 !important;
border-color: #444 !important;
}
/* Scrollbars */
::-webkit-scrollbar { background: #1a1a2e !important; }
::-webkit-scrollbar-thumb { background: #444 !important; }
::-webkit-scrollbar-thumb:hover { background: #555 !important; }
/* Selection */
::selection { background: #4ecdc4 !important; color: #1a1a2e !important; }
::-moz-selection { background: #4ecdc4 !important; color: #1a1a2e !important; }
';
}
function removeDarkMode() {
var style = document.getElementById('universal-dark-mode-style');
if (style) style.remove();
}
// Toggle with Alt+Shift+D
document.addEventListener('keydown', function(e) {
if (e.altKey && e.shiftKey && e.key === 'D') {
e.preventDefault();
enabled = !enabled;
if (enabled) {
applyDarkMode();
console.log('[Universal Dark Mode] Enabled');
} else {
removeDarkMode();
console.log('[Universal Dark Mode] Disabled');
}
}
});
// Apply on load
applyDarkMode();
// Re-apply on dynamic content
var observer = new MutationObserver(function(mutations) {
if (enabled && !document.getElementById('universal-dark-mode-style')) {
applyDarkMode();
}
});
observer.observe(document.head, { childList: true });
console.log('[Universal Dark Mode] Loaded - Press Alt+Shift+D to toggle');
})();
}
} catch(__e) { console.warn('[Userscript:Universal Dark Mode]', __e); }
})();
})();

Skip to content
View pedrocvaranda's full-sized avatar
:electron:
Studying
:electron:
Studying
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followers
 · 9
following


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pedrocvaranda/README.md
Hey there! 👋 I'm Pedro Varanda
Research-driven builder, competitive mathematician and aspiring computer scientist 

Exploring the intersection of geometry, AI, and real-world applications 

I've had a 2-year experience working/studying with Codaqui
ORCID
Research
Varandian Optics: A Non-Euclidean Formulation of Light Propagation
Extended geometric optics to constant-curvature spaces using Riemannian geometry,
establishing new optical laws for propagation, refraction, and reflection in
curved manifolds.
DOI
Interactive simulator
Interactive 2D visualization of light propagation in constant-curvature spaces
Tech: Python • NumPy • Jupyter Notebooks
Achievements
Astronomy & Astrophysics
  • 🥇 OBA 2025: Gold Medal + #1 in Brazil (Perfect Score)
  • 🏅 OBA 2023: Gold Medal + #2 in Brazil
  • 🏅 OBA 2024: Gold Medal + #3 in Brazil
  • 🎯 IOAA: 4× Selected for Brazilian National Team Selection
  • 🪐 IAAC: Invitation
Mathematics
  • 🥇 Canguru: 4× Consecutive Gold Medals (2022-2025) + Silver Medal (2026)
  • 🥉 IYMC 2025: Bronze Medal, Top 10% Global
  • 🥉 OBMEP: 2× Bronze Medals (2023, 2025)
  • 🧮 GLRC: Invitation
Physics & Geography
  • ⚡ IPhyc: International Physics Competition (Pre Finalist)
  • 🥇 OBG: 2× Consecutive Gold Medals (2024-2025)
  • 🐈 GQMC: Invitation
Leadership & Scientific Outreach
  • 🌐 IYMC Ambassador Program: 4× Invited for the International Ambassadors Selection
  • ⚛️ IPhyc Ambassador Program: Invited for the Physics Outreach & Ambassador Track
Research
  • 📄 Varandian Optics
  • 🎓 Stanford Online: 3× Certificates in ML
  • 🌐 AWS: Certificates in LLMs
Featured Projects
Smart Cash Allocation Model
Machine learning-based financial optimizer using Monte Carlo simulation for
risk-adjusted capital allocation. Helps small operators survive uncertainty.
DOI
Tech: Python • scikit-learn • NumPy • Pandas • Streamlit
Golang Roadmap
A structured, progressive Go (Golang) study roadmap designed for 2026, covering fundamentals to advanced topics.
DOI
Tech: Golang • HTML • MySQL
Intelligent Chess Trainer
Interactive chess learning system with strategic insights for the Queen's Gambit opening.
DOI
Tech: Python • python-chess
Portfolio Tracker
Monte Carlo simulation engine for market data collection, price validation, parameter calibration, and forecast backtesting
DOI
Tech: Golang • HTML • JS
Cognitree Agent Skill
Portable agent skill for improving long-context behavior in AI assistants
Tech: Markdown
Tech Stack:
PythonGoNodeJSJavaScriptHTML
Pandasscikit-learnPyTorchTensorFlowNumPyMatplotlibKerasmlflow
"Remember to look up at the stars and not down at your feet." - Stephen Hawking

Pinned
Loading
  1. varandian-optics-simulatorvarandian-optics-simulatorPublic
    
Interactive 2D visualization of light propagation in constant-curvature spaces

    Python
2

  2. cognitree-agent-skillcognitree-agent-skillPublic
    
Portable agent skill for improving long-context behavior in AI assistants

    
3

  3. modelo_alocacao_caixamodelo_alocacao_caixaPublic
    
Machine learning-based financial optimizer using Monte Carlo simulation for risk-adjusted capital allocation. Helps small operators survive uncertainty.

    Python
2

  4. portfolio-trackerportfolio-trackerPublic
    
Simulador de Monte Carlo para coleta de dados de mercado, validação de preços, calibração de parâmetros e backtesting de previsões.

    Go
2

  5. notebooklm-power-promptnotebooklm-power-promptPublic
    
High-performance prompt generator to maximize learning in NotebookLM

    HTML
3

  6. golang-roadmapgolang-roadmapPublic
    
Roteiro estruturado de estudos em Go, organizado em módulos progressivos que cobrem desde a sintaxe fundamental até tópicos avançados como concorrência, testes automatizados e banco de dados.

    Go
2