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<!DOCTYPE html>
<html lang="en">
<head>
<meta charset="UTF-8" />
<meta name="viewport" content="width=device-width, initial-scale=1.0" />
<title>Nicholas Tavares | Quantitative Research & ML Engineering</title>
<script src="https://cdnjs.cloudflare.com/ajax/libs/react/18.2.0/umd/react.production.min.js"></script>
<script src="https://cdnjs.cloudflare.com/ajax/libs/react-dom/18.2.0/umd/react-dom.production.min.js"></script>
<script src="https://cdnjs.cloudflare.com/ajax/libs/babel-standalone/7.23.9/babel.min.js"></script>
<style>
* { margin: 0; padding: 0; box-sizing: border-box; scroll-behavior: smooth; }
body { background: #0a0a1a; }
@keyframes float { 0% { transform: translateY(0px) translateX(0px); } 100% { transform: translateY(-30px) translateX(15px); } }
@keyframes pulse { 0%,100% { opacity: 0.6; } 50% { opacity: 1; } }
@keyframes slideUp { from { opacity: 0; transform: translateY(30px); } to { opacity: 1; transform: translateY(0); } }
@keyframes gradientShift { 0% { background-position: 0% 50%; } 50% { background-position: 100% 50%; } 100% { background-position: 0% 50%; } }
::selection { background: #e9456044; color: white; }
</style>
</head>
<body>
<div id="root"></div>
<script type="text/babel">
const { useState, useEffect, useRef } = React;
const ACCENT = "#e94560";
const DARK = "#0a0a1a";
const DARKER = "#060612";
const CARD = "#12122a";
const CARD_BORDER = "#1e1e3a";
const TEXT = "#e0e0e0";
const TEXT_DIM = "#8888aa";
const BLUE = "#4361ee";
const GREEN = "#2dd4bf";
const GOLD = "#f59e0b";
const EQUATIONS = [
"\u2202f/\u2202t + \u00bd\u03c3\u00b2S\u00b2\u2202\u00b2f/\u2202S\u00b2 + rS\u2202f/\u2202S \u2212 rf = 0",
"E[X] = \u222bxf(x)dx",
"\u2207\u00b2\u03c8 + (2m/\u210f\u00b2)(E\u2212V)\u03c8 = 0",
"det(A \u2212 \u03bbI) = 0",
"T_{X\u2192Y} = \u03a3 p(y,y\u207b,x\u207b) log[p(y|y\u207b,x\u207b)/p(y|y\u207b)]",
"dS = \u03bcSdt + \u03c3SdW",
"H(X) = \u2212\u03a3 p(x) log p(x)",
"\u2202u/\u2202t = \u03b1\u2207\u00b2u",
"[G,G] \u2286 G",
"||Ax \u2212 b||\u2082\u00b2",
"P(A|B) = P(B|A)P(A)/P(B)",
"\u03c1(X,Y) = cov(X,Y)/\u03c3\u2093\u03c3\u1d67",
"F = ma",
"\u222e E\u00b7dl = \u2212d\u03a6/dt",
"\u03a3\u1d62 \u03bb\u1d62e\u1d62\u2297e\u1d62",
"lim(n\u2192\u221e) \u03a3 1/n\u00b2= \u03c0\u00b2/6",
];
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const left = 2 + ((index * 23) % 95);
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pointerEvents: "none", animation: `float ${duration}s ease-in-out ${delay}s infinite alternate`, zIndex: 0,
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);
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<section id={id} style={{ position: "relative", padding: "80px 0", background: dark ? DARKER : "transparent", overflow: "hidden" }}>
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);
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<div style={{ marginBottom: 40, textAlign: "center" }}>
<h2 style={{ fontSize: 36, fontWeight: 800, color: "white", margin: 0, letterSpacing: "-0.5px" }}>{children}</h2>
{sub && <p style={{ color: TEXT_DIM, fontSize: 15, marginTop: 8 }}>{sub}</p>}
<div style={{ width: 60, height: 3, background: ACCENT, margin: "16px auto 0", borderRadius: 2 }} />
</div>
);
const Card = ({ children, style, hover }) => {
const [hovered, setHovered] = useState(false);
return (
<div onMouseEnter={() => setHovered(true)} onMouseLeave={() => setHovered(false)}
style={{
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borderRadius: 12, padding: 28, transition: "all 0.3s ease",
transform: hovered && hover ? "translateY(-4px)" : "none",
boxShadow: hovered && hover ? "0 8px 30px rgba(233,69,96,0.15)" : "none", ...style,
}}>{children}</div>
);
};
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<span style={{
display: "inline-block", padding: "4px 12px", borderRadius: 20, fontSize: 11,
fontWeight: 600, background: `${color}22`, color: color, marginRight: 6, marginBottom: 6,
}}>{children}</span>
);
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const [current, setCurrent] = useState(0);
const ref = useRef(null);
const started = useRef(false);
useEffect(() => {
const observer = new IntersectionObserver(([entry]) => {
if (entry.isIntersecting && !started.current) {
started.current = true;
const duration = 2000;
const steps = 60;
const increment = target / steps;
let step = 0;
const timer = setInterval(() => {
step++;
if (step >= steps) {
setCurrent(target);
clearInterval(timer);
} else {
setCurrent(Math.floor(increment * step));
}
}, duration / steps);
}
}, { threshold: 0.3 });
if (ref.current) observer.observe(ref.current);
return () => observer.disconnect();
}, [target]);
const display = target >= 1000 ? Math.floor(current / 1000) + "K+" : current.toLocaleString();
return <span ref={ref}>{started.current && current === target ? (target >= 1000 ? Math.floor(target / 1000) + "K+" : target.toLocaleString()) : display}{suffix}</span>;
};
const StatBox = ({ value, label, numeric }) => (
<div style={{ textAlign: "center", padding: "20px 16px" }}>
<div style={{ fontSize: 36, fontWeight: 800, color: ACCENT, fontFamily: "Georgia, serif" }}>
{numeric != null ? <AnimatedNumber target={numeric} /> : value}
</div>
<div style={{ fontSize: 12, color: TEXT_DIM, marginTop: 4, textTransform: "uppercase", letterSpacing: 1 }}>{label}</div>
</div>
);
const Nav = ({ active }) => {
const links = ["About", "Disclosures", "Research", "Projects", "Mathematics", "Experience", "Contact"];
return (
<nav style={{
position: "fixed", top: 0, left: 0, right: 0, zIndex: 100,
background: "rgba(6,6,18,0.92)", backdropFilter: "blur(20px)",
borderBottom: `1px solid ${CARD_BORDER}`, padding: "0 24px",
}}>
<div style={{ maxWidth: 1100, margin: "0 auto", display: "flex", justifyContent: "space-between", alignItems: "center", height: 60 }}>
<a href="#hero" style={{ color: "white", textDecoration: "none", fontWeight: 800, fontSize: 18 }}>
<span style={{ color: ACCENT }}>N</span>T
</a>
<div style={{ display: "flex", gap: 28 }}>
{links.map((l) => (
<a key={l} href={`#${l.toLowerCase()}`} style={{
color: active === l.toLowerCase() ? ACCENT : TEXT_DIM,
textDecoration: "none", fontSize: 13, fontWeight: 500, letterSpacing: 0.5, transition: "color 0.2s",
}}>{l}</a>
))}
</div>
</div>
</nav>
);
};
function Portfolio() {
const [activeSection, setActiveSection] = useState("about");
const [stats, setStats] = useState({ loc: 93314, python_scripts: 314, projects: 7, commits: 69, public_repos: 6 });
const [projects, setProjects] = useState([]);
useEffect(() => {
fetch("stats.json?" + Date.now())
.then(r => r.json())
.then(d => setStats(d))
.catch(() => {});
fetch("projects.json?" + Date.now())
.then(r => r.json())
.then(d => setProjects(d.projects || []))
.catch(() => {});
}, []);
useEffect(() => {
const handleScroll = () => {
const sections = ["about", "disclosures", "research", "projects", "mathematics", "experience", "contact"];
for (const id of sections) {
const el = document.getElementById(id);
if (el && el.getBoundingClientRect().top < 200) setActiveSection(id);
}
};
window.addEventListener("scroll", handleScroll);
return () => window.removeEventListener("scroll", handleScroll);
}, []);
return (
<div style={{
background: DARK, color: TEXT,
fontFamily: '-apple-system, BlinkMacSystemFont, "Segoe UI", Roboto, sans-serif',
minHeight: "100vh", overflowX: "hidden",
}}>
<style>{`a:hover { color: ${ACCENT} !important; }`}</style>
<Nav active={activeSection} />
{/* HERO */}
<section id="hero" style={{ position: "relative", minHeight: "100vh", display: "flex", alignItems: "center", justifyContent: "center", overflow: "hidden" }}>
{EQUATIONS.map((eq, i) => <FloatingEquation key={i} eq={eq} index={i} />)}
<div style={{ position: "absolute", width: 500, height: 500, borderRadius: "50%", background: "radial-gradient(circle, rgba(233,69,96,0.08) 0%, transparent 70%)", top: "10%", right: "-10%", pointerEvents: "none" }} />
<div style={{ position: "absolute", width: 400, height: 400, borderRadius: "50%", background: "radial-gradient(circle, rgba(67,97,238,0.06) 0%, transparent 70%)", bottom: "10%", left: "-5%", pointerEvents: "none" }} />
<div style={{ textAlign: "center", zIndex: 1, animation: "slideUp 1s ease-out" }}>
<a href="https://www.linkedin.com/in/nicholas-tavares-34986399/" target="_blank" rel="noopener noreferrer" style={{ textDecoration: "none", display: "block", margin: "0 auto 32px", width: 160, height: 160, borderRadius: "50%", cursor: "pointer", position: "relative" }}>
<div style={{
width: 160, height: 160, borderRadius: "50%",
background: `linear-gradient(135deg, ${ACCENT}, ${BLUE})`,
display: "flex", alignItems: "center", justifyContent: "center",
fontSize: 56, fontWeight: 800, color: "white",
boxShadow: `0 0 60px ${ACCENT}33`, border: "3px solid rgba(255,255,255,0.1)",
transition: "transform 0.2s, box-shadow 0.2s",
}}>NT</div>
<div style={{ position: "absolute", bottom: 4, right: 4, width: 36, height: 36, borderRadius: "50%", background: "#0A66C2", display: "flex", alignItems: "center", justifyContent: "center", border: "2px solid #0d1117", boxShadow: "0 2px 8px rgba(0,0,0,0.4)" }}>
<svg xmlns="http://www.w3.org/2000/svg" width="18" height="18" viewBox="0 0 24 24" fill="white">
<path d="M20.447 20.452h-3.554v-5.569c0-1.328-.027-3.037-1.852-3.037-1.853 0-2.136 1.445-2.136 2.939v5.667H9.351V9h3.414v1.561h.046c.477-.9 1.637-1.85 3.37-1.85 3.601 0 4.267 2.37 4.267 5.455v6.286zM5.337 7.433a2.062 2.062 0 01-2.063-2.065 2.064 2.064 0 112.063 2.065zm1.782 13.019H3.555V9h3.564v11.452zM22.225 0H1.771C.792 0 0 .774 0 1.729v20.542C0 23.227.792 24 1.771 24h20.451C23.2 24 24 23.227 24 22.271V1.729C24 .774 23.2 0 22.222 0h.003z"/>
</svg>
</div>
</a>
<h1 style={{ fontSize: 52, fontWeight: 800, margin: 0, color: "white", letterSpacing: "-1px" }}>Nicholas Tavares</h1>
<p style={{ fontSize: 13, color: ACCENT, fontWeight: 600, letterSpacing: 4, textTransform: "uppercase", marginTop: 12 }}>Aspiring Researcher</p>
<p style={{ fontSize: 20, color: TEXT_DIM, marginTop: 16, maxWidth: 700, margin: "16px auto 0", lineHeight: 1.6 }}>
Mathematician, Quantitative Researcher, ML Engineer, Agentic AI
</p>
<p style={{ fontSize: 14, color: TEXT_DIM, marginTop: 12, fontStyle: "italic", fontFamily: "Georgia, serif" }}>
Exploring market microstructure through network analysis and information theory.
</p>
<div style={{ marginTop: 36, display: "flex", gap: 16, justifyContent: "center", flexWrap: "wrap" }}>
<a href="#research" style={{ display: "inline-block", padding: "12px 32px", background: ACCENT, color: "white", borderRadius: 8, textDecoration: "none", fontWeight: 600, fontSize: 14 }}>View Research</a>
<a href="#projects" style={{ display: "inline-block", padding: "12px 32px", background: "transparent", color: "white", borderRadius: 8, textDecoration: "none", fontWeight: 600, fontSize: 14, border: `1px solid ${CARD_BORDER}` }}>Explore Projects</a>
<a href="https://github.com/studyalwaysbro" target="_blank" style={{ display: "inline-block", padding: "12px 32px", background: "transparent", color: TEXT_DIM, borderRadius: 8, textDecoration: "none", fontWeight: 600, fontSize: 14, border: `1px solid ${CARD_BORDER}` }}>GitHub ↗</a>
</div>
<div style={{ display: "flex", justifyContent: "center", gap: 40, marginTop: 60, flexWrap: "wrap" }}>
<StatBox numeric={stats.loc} label="Lines of Code" />
<StatBox numeric={stats.python_scripts} label="Python Scripts" />
<StatBox numeric={stats.projects} label="Projects" />
<StatBox numeric={stats.commits} label="Commits" />
<StatBox numeric={stats.public_repos} label="Public Repos" />
</div>
</div>
</section>
{/* ABOUT */}
<Section id="about" dark>
<SectionTitle sub="Where pure mathematics meets messy real-world datasets">About</SectionTitle>
<div style={{ display: "grid", gridTemplateColumns: "1fr 1fr", gap: 32 }}>
<div>
<div style={{ display: "flex", alignItems: "center", gap: 20, marginBottom: 24 }}>
<a href="https://www.linkedin.com/in/nicholas-tavares-34986399/" target="_blank" rel="noopener noreferrer" style={{ textDecoration: "none", flexShrink: 0, position: "relative", display: "inline-block" }}>
<div style={{
width: 100, height: 100, borderRadius: "50%",
background: `linear-gradient(135deg, ${ACCENT}, ${BLUE})`,
display: "flex", alignItems: "center", justifyContent: "center",
border: "3px solid rgba(233,69,96,0.3)", boxShadow: `0 0 30px ${ACCENT}22`, overflow: "hidden",
cursor: "pointer", transition: "transform 0.2s, box-shadow 0.2s",
}}>
<span style={{ fontSize: 36, fontWeight: 800, color: "white" }}>NT</span>
</div>
<div style={{ position: "absolute", bottom: 0, right: 0, width: 28, height: 28, borderRadius: "50%", background: "#0A66C2", display: "flex", alignItems: "center", justifyContent: "center", border: "2px solid #0d1117", boxShadow: "0 2px 8px rgba(0,0,0,0.4)" }}>
<svg xmlns="http://www.w3.org/2000/svg" width="14" height="14" viewBox="0 0 24 24" fill="white">
<path d="M20.447 20.452h-3.554v-5.569c0-1.328-.027-3.037-1.852-3.037-1.853 0-2.136 1.445-2.136 2.939v5.667H9.351V9h3.414v1.561h.046c.477-.9 1.637-1.85 3.37-1.85 3.601 0 4.267 2.37 4.267 5.455v6.286zM5.337 7.433a2.062 2.062 0 01-2.063-2.065 2.064 2.064 0 112.063 2.065zm1.782 13.019H3.555V9h3.564v11.452zM22.225 0H1.771C.792 0 0 .774 0 1.729v20.542C0 23.227.792 24 1.771 24h20.451C23.2 24 24 23.227 24 22.271V1.729C24 .774 23.2 0 22.222 0h.003z"/>
</svg>
</div>
</a>
<div>
<div style={{ fontSize: 18, fontWeight: 700, color: "white" }}>Nicholas Tavares</div>
<div style={{ fontSize: 12, color: ACCENT, fontWeight: 600, marginTop: 2 }}>M.S. Mathematics Candidate</div>
<div style={{ fontSize: 12, color: TEXT_DIM, marginTop: 4 }}>Stevens Institute of Technology</div>
</div>
</div>
<p style={{ fontSize: 15, lineHeight: 1.8, color: TEXT }}>
I'm a graduate student and ML engineer who builds systems that find structure in chaos.
My academic work sits at the intersection of <span style={{ color: ACCENT, fontWeight: 600 }}>graph theory</span>,
<span style={{ color: BLUE, fontWeight: 600 }}> information theory</span>, and
<span style={{ color: GREEN, fontWeight: 600 }}> network analysis</span>, using tools from
pure mathematics to study complex systems and multi-agent architectures.
</p>
<p style={{ fontSize: 15, lineHeight: 1.8, color: TEXT, marginTop: 16 }}>
Currently pursuing an M.S. in Mathematics at <b>Stevens Institute of Technology</b>{" "}
while building multi-agent research systems for prediction market analysis.
</p>
<p style={{ fontSize: 15, lineHeight: 1.8, color: TEXT, marginTop: 16 }}>
I believe the best insights come from asking better questions, not running faster models.
My coursework and thesis research explore whether network topology metrics exhibit
structural changes during periods of macroeconomic stress. An open academic question worth studying rigorously.
</p>
</div>
<div>
<Card>
<h3 style={{ color: "white", fontSize: 16, marginTop: 0, marginBottom: 12 }}>Education</h3>
<div style={{ fontSize: 14, color: TEXT }}>
<b>Stevens Institute of Technology</b>
<p style={{ color: TEXT_DIM, fontSize: 13, margin: "4px 0 0" }}>M.S. Mathematics | Dec 2023 - Jun 2026 (expected)</p>
</div>
<div style={{ fontSize: 14, color: TEXT, marginTop: 12 }}>
<b>Oregon Institute of Technology</b>
<p style={{ color: TEXT_DIM, fontSize: 13, margin: "4px 0 0" }}>B.S. Applied Mathematics | 2015 - 2018</p>
</div>
</Card>
</div>
</div>
</Section>
{/* DISCLOSURES */}
<Section id="disclosures">
<SectionTitle sub="Please review before exploring this site">Disclosures</SectionTitle>
<div style={{ maxWidth: 800, margin: "0 auto" }}>
<Card>
<div style={{ display: "grid", gap: 20 }}>
<div>
<h3 style={{ color: ACCENT, fontSize: 15, marginTop: 0, marginBottom: 8 }}>Personal Site</h3>
<p style={{ fontSize: 13, lineHeight: 1.7, color: TEXT, margin: 0 }}>
This website is maintained in my personal capacity only. It is <b>not affiliated with,
endorsed by, or associated with any employer</b> or financial institution.
All views and opinions expressed here are my own and do not represent the views of any firm.
For professional background, please see my {" "}
<a href="https://www.linkedin.com/in/nicholas-tavares-34986399/" target="_blank" rel="noopener noreferrer" style={{ color: ACCENT, textDecoration: "underline" }}>LinkedIn profile</a>.
</p>
</div>
<div>
<h3 style={{ color: ACCENT, fontSize: 15, marginTop: 0, marginBottom: 8 }}>Not Investment Advice</h3>
<p style={{ fontSize: 13, lineHeight: 1.7, color: TEXT, margin: 0 }}>
Nothing on this site constitutes investment advice, a solicitation to buy or sell securities,
or a recommendation of any investment product, strategy, or course of action. All content is
for <b>educational and academic research purposes only</b> and should not be used as the basis
for any investment decision.
</p>
</div>
<div>
<h3 style={{ color: ACCENT, fontSize: 15, marginTop: 0, marginBottom: 8 }}>Research Disclaimer</h3>
<p style={{ fontSize: 13, lineHeight: 1.7, color: TEXT, margin: 0 }}>
All research findings, statistical results, and quantitative analysis presented here are theoretical
and academic in nature. Historical patterns observed in specific datasets do not predict future performance
and have not been validated for real-world trading or investment applications. Past performance,
whether simulated or backtested, does not indicate future results.
</p>
</div>
</div>
</Card>
</div>
</Section>
{/* RESEARCH */}
<Section id="research">
<SectionTitle sub="Publication-ready quantitative research with novel mathematical contributions">Research</SectionTitle>
<Card hover style={{ marginBottom: 32 }}>
<div style={{ display: "flex", justifyContent: "space-between", alignItems: "flex-start", flexWrap: "wrap", gap: 16 }}>
<div style={{ flex: 1, minWidth: 300 }}>
<Tag color={ACCENT}>Network Theory</Tag>
<Tag color={BLUE}>Information Theory</Tag>
<Tag color={GREEN}>Geopolitical Finance</Tag>
<Tag color={GOLD}>HMM Regime Detection</Tag>
<h3 style={{ color: "white", fontSize: 22, margin: "16px 0 8px", lineHeight: 1.3 }}>
Dynamic Multi-Asset Portfolio Topology Reorganization During Geopolitical Stress
</h3>
<p style={{ color: TEXT_DIM, fontSize: 13, margin: 0 }}>N. Tavares, A. Hanini, B. Dasilva | Stevens Institute of Technology, 2025-2026</p>
</div>
<a href="https://github.com/studyalwaysbro/asset-cluster-migration" target="_blank"
style={{ padding: "10px 20px", background: ACCENT, color: "white", borderRadius: 8, textDecoration: "none", fontSize: 13, fontWeight: 600 }}>
View on GitHub ↗
</a>
</div>
<p style={{ fontSize: 14, lineHeight: 1.7, marginTop: 16 }}>
A novel framework analyzing how multi-asset portfolio structures reorganize during geopolitical crises.
Constructs multi-layer similarity networks across <b>91 ETFs</b> spanning 8 asset classes using shrinkage correlation,
distance correlation, and tail-dependence measures. Applies Leiden community detection, Hidden Markov Model regime identification,
and information-theoretic metrics (transfer entropy via KSG estimator, Granger causality) to reveal directional
information flow between asset clusters.
</p>
<div style={{ marginTop: 20, background: `${BLUE}11`, border: `1px solid ${BLUE}33`, borderRadius: 8, padding: 12, marginBottom: 16 }}>
<p style={{ fontSize: 11, color: TEXT_DIM, margin: 0, lineHeight: 1.6 }}>
<b style={{ color: BLUE }}>Academic Research:</b> Findings below are from a specific historical dataset and time period.
They have not been validated for real-world application and should not be construed as investment recommendations.
</p>
</div>
<div style={{ marginTop: 20 }}>
<h4 style={{ color: ACCENT, fontSize: 14, marginBottom: 12 }}>Key Findings</h4>
<div style={{ display: "grid", gridTemplateColumns: "1fr 1fr", gap: 12 }}>
{[
{ icon: "\u26a1", text: "In this dataset, topology metrics showed structural changes preceding observed crises, a pattern meriting further study" },
{ icon: "\ud83d\udd17", text: "Tail-dependence CMI Granger-causes Pearson CMI (p=0.041) in our sample period (generalizability under investigation)" },
{ icon: "\ud83c\udfdb\ufe0f", text: "Treasury cluster shifted to primary information sender during geopolitical periods studied (vs. credit in calm)" },
{ icon: "\ud83d\udcca", text: "COVID period showed distinct cluster dissolution (CMI=1.0) with faster structural recovery than geopolitical shocks" },
].map((f, i) => (
<div key={i} style={{ display: "flex", gap: 10, fontSize: 13, lineHeight: 1.6, color: TEXT }}>
<span style={{ fontSize: 18 }}>{f.icon}</span><span>{f.text}</span>
</div>
))}
</div>
</div>
<div style={{ marginTop: 20 }}>
<h4 style={{ color: ACCENT, fontSize: 14, marginBottom: 12 }}>Novel Contributions</h4>
<div style={{ display: "flex", gap: 8, flexWrap: "wrap" }}>
{["CMI (Cluster Migration Index)", "TDS (Topology Deformation Score)", "Layer Agreement Metric", "Net Transfer Entropy Ranking", "Cross-Layer Granger Causality"].map((c) => (
<Tag key={c} color={BLUE}>{c}</Tag>
))}
</div>
</div>
<div style={{ marginTop: 20 }}>
<h4 style={{ color: ACCENT, fontSize: 14, marginBottom: 12 }}>Methodology & Robustness</h4>
<div style={{ display: "flex", gap: 8, flexWrap: "wrap" }}>
{["Walk-Forward Validation", "Block Bootstrap CI", "IAAFT Surrogate Testing", "Monte Carlo Power Analysis", "Bonferroni & BH-FDR Correction", "Sensitivity Analysis"].map((m) => (
<Tag key={m} color={GREEN}>{m}</Tag>
))}
</div>
</div>
</Card>
<div style={{ marginTop: 24 }}>
<h4 style={{ color: "white", fontSize: 16, marginBottom: 16, textAlign: "center" }}>Publication-Quality Figures (24 Total)</h4>
<div style={{ display: "grid", gridTemplateColumns: "repeat(4, 1fr)", gap: 12 }}>
{["CMI/TDS Time Series", "Correlation Heatmap", "Epic Fury Evolution", "Information Flow",
"Transfer Entropy Heatmap", "Granger Network", "Cross-Layer Causality", "COVID Cluster Evolution"
].map((fig, i) => (
<div key={i} style={{
background: `linear-gradient(135deg, ${CARD}, ${ACCENT}11)`, borderRadius: 8,
padding: 16, border: `1px solid ${CARD_BORDER}`, textAlign: "center", fontSize: 11, color: TEXT_DIM,
}}>
<div style={{ fontSize: 28, marginBottom: 8 }}>{["\ud83d\udcc8", "\ud83d\uddfa\ufe0f", "\ud83c\udf00", "\ud83d\udd04", "\ud83d\udd25", "\ud83d\udd78\ufe0f", "\u26a1", "\ud83e\udda0"][i]}</div>
Fig. {i + 1}: {fig}
</div>
))}
</div>
</div>
</Section>
{/* PROJECTS */}
<Section id="projects" dark>
<SectionTitle sub="Research systems, multi-agent AI, and quantitative tools">Projects</SectionTitle>
<div style={{ display: "grid", gridTemplateColumns: "1fr 1fr", gap: 24 }}>
{projects.filter(p => p.visible).map((proj) => (
<Card key={proj.id} hover>
<div style={{ display: "flex", justifyContent: "space-between", alignItems: "center", marginBottom: 12 }}>
<Tag color={proj.color}>{proj.category}</Tag>
{proj.stats && proj.stats.last_activity && proj.stats.last_activity !== "unknown" && (
<span style={{ fontSize: 11, color: GREEN, fontWeight: 600 }}>Active {proj.stats.last_activity}</span>
)}
</div>
<h3 style={{ color: "white", fontSize: 20, margin: "0 0 8px" }}>{proj.name}</h3>
<p style={{ color: TEXT_DIM, fontSize: 13, lineHeight: 1.6 }}>{proj.description}</p>
<div style={{ marginTop: 12, display: "flex", gap: 6, flexWrap: "wrap" }}>
{proj.tags.map((t) => (
<Tag key={t} color={proj.color}>{t}</Tag>
))}
</div>
{proj.stats && (proj.stats.loc > 0 || proj.stats.commits > 0) && (
<div style={{ marginTop: 16, fontSize: 12, color: TEXT_DIM }}>
{proj.stats.loc >= 1000 ? Math.floor(proj.stats.loc / 1000) + "K+" : proj.stats.loc} LOC
{proj.stats.commits > 0 && (" · " + proj.stats.commits + " commits")}
</div>
)}
{proj.github && !proj.github_private && (
<a href={proj.github} target="_blank" rel="noopener noreferrer" style={{ display: "inline-block", marginTop: 16, color: proj.color, textDecoration: "none", fontSize: 13, fontWeight: 600 }}>GitHub →</a>
)}
{proj.github_private && (
<span style={{ display: "inline-block", marginTop: 16, color: TEXT_DIM, fontSize: 13, fontWeight: 600 }}>Private Repository</span>
)}
</Card>
))}
</div>
<Card style={{ marginTop: 24, border: `1px dashed ${ACCENT}44`, background: `${ACCENT}08` }}>
<div style={{ display: "flex", alignItems: "center", gap: 12, marginBottom: 12 }}>
<Tag color={ACCENT}>Coming Soon</Tag>
<span style={{ fontSize: 13, color: ACCENT, fontWeight: 600 }}>Regime-Aware Research Engine</span>
</div>
<p style={{ color: TEXT_DIM, fontSize: 13, lineHeight: 1.6, margin: 0 }}>
Merging Asset-Cluster-Migration topology analysis with Polymarket sentiment signals into a
research engine for studying regime transitions. When HMM detects structural shifts AND prediction
markets show divergence simultaneously, that convergence is theoretically interesting and worth
rigorous academic investigation.
</p>
</Card>
</Section>
{/* MATHEMATICS */}
<Section id="mathematics">
<SectionTitle sub="From abstract structures to applied algorithms, the mathematical foundation">Mathematical Interests</SectionTitle>
<div style={{ display: "grid", gridTemplateColumns: "repeat(3, 1fr)", gap: 16 }}>
{[
{ title: "Partial Differential Equations", eq: "\u2202u/\u2202t = \u03b1\u2207\u00b2u + f(x,t)", desc: "Black-Scholes, heat equation, diffusion processes. The language of continuous-time finance.", color: ACCENT },
{ title: "Calculus & Real Analysis", eq: "lim \u03b5\u21920 |f(x+\u03b5)\u2212f(x)|/\u03b5", desc: "Measure theory, Lebesgue integration, functional analysis. Rigorous foundations for probability.", color: BLUE },
{ title: "Linear Algebra", eq: "Av = \u03bbv, det(A\u2212\u03bbI) = 0", desc: "Spectral decomposition, SVD, eigenvalue problems. Core of PCA, clustering, and network analysis.", color: GREEN },
{ title: "Abstract & Lie Algebras", eq: "[X,Y] = XY \u2212 YX \u2208 g", desc: "Group theory, symmetry, representation theory. Structure behind gauge theories and symmetry breaking.", color: GOLD },
{ title: "Complex Analysis", eq: "\u222e f(z)dz = 2\u03c0i \u03a3 Res(f,a\u2096)", desc: "Residue calculus, conformal mapping, analytic continuation. Elegant tools for signal processing.", color: "#a855f7" },
{ title: "Probability & Stochastic Calculus", eq: "dX = \u03bcdt + \u03c3dW", desc: "It\u00f4 calculus, martingales, SDEs, measure-theoretic probability. The engine of quantitative finance.", color: ACCENT },
{ title: "Graph & Network Theory", eq: "L = D \u2212 A, x^T Lx \u2265 0", desc: "Spectral graph theory, community detection, multi-layer networks. My primary research domain.", color: BLUE },
{ title: "Information Theory", eq: "T_{X\u2192Y} = H(Y|Y\u207b) \u2212 H(Y|Y\u207b,X\u207b)", desc: "Transfer entropy, mutual information, KL divergence. Measuring causal information flow between assets.", color: GREEN },
{ title: "Machine Learning Theory", eq: "R(f) \u2264 R\u0302(f) + \u221a(d/n)", desc: "VC dimension, generalization bounds, PAC learning, bias-variance decomposition. Rigorous ML.", color: GOLD },
].map((m, i) => (
<Card key={i} hover>
<div style={{ fontSize: 12, color: m.color, fontWeight: 700, letterSpacing: 1, textTransform: "uppercase", marginBottom: 8 }}>{m.title}</div>
<div style={{ fontFamily: "Georgia, serif", fontStyle: "italic", fontSize: 15, color: "white", padding: "12px 0", borderBottom: `1px solid ${CARD_BORDER}`, marginBottom: 12 }}>{m.eq}</div>
<p style={{ fontSize: 12, color: TEXT_DIM, lineHeight: 1.6, margin: 0 }}>{m.desc}</p>
</Card>
))}
</div>
</Section>
{/* EXPERIENCE */}
<Section id="experience" dark>
<SectionTitle sub="Academic research, engineering, and professional experience">Experience</SectionTitle>
<div style={{ position: "relative", paddingLeft: 32 }}>
<div style={{ position: "absolute", left: 7, top: 8, bottom: 8, width: 2, background: `linear-gradient(to bottom, ${ACCENT}, ${BLUE}, ${GREEN})` }} />
{[
{
period: "2025 - Present", role: "Quantitative Researcher & ML Engineer",
org: "Stevens Institute of Technology / Independent",
desc: "Conducting research on multi-asset topology dynamics during geopolitical crises. Building multi-agent research systems for prediction market data analysis. Developing novel metrics (CMI, TDS) with full statistical robustness validation.",
tags: ["Graph Theory", "Transfer Entropy", "HMM", "CrewAI", "LangChain"],
},
{
period: "2023 - Present", role: "M.S. Mathematics",
org: "Stevens Institute of Technology",
desc: "Coursework in Machine Learning (CPE595), Applied Statistics (MA544), Time Series Analysis (MA641), Optimization & Stochastic Calculus (MA576), Big Data Technologies (BIA678). Building research projects that bridge academic rigor with practical financial applications.",
tags: ["LSTM", "SARIMA", "HMM", "Spark", "Kafka", "PostgreSQL"],
},
].map((exp, i) => (
<div key={i} style={{ marginBottom: 32, position: "relative" }}>
<div style={{ position: "absolute", left: -28, top: 6, width: 14, height: 14, borderRadius: "50%", background: ACCENT, border: `3px solid ${DARKER}` }} />
<Card>
<span style={{ fontSize: 12, color: ACCENT, fontWeight: 600 }}>{exp.period}</span>
<h3 style={{ color: "white", fontSize: 18, margin: "8px 0 4px" }}>{exp.role}</h3>
{exp.org && <p style={{ color: TEXT_DIM, fontSize: 13, margin: "0 0 12px", fontWeight: 500 }}>{exp.org}</p>}
{exp.linkedin ? (
<a href="https://www.linkedin.com/in/nicholas-tavares-34986399/" target="_blank" rel="noopener noreferrer"
style={{ display: "inline-flex", alignItems: "center", gap: 8, padding: "8px 16px", background: "#0A66C2", color: "white", borderRadius: 8, textDecoration: "none", fontSize: 13, fontWeight: 600, marginTop: 4 }}>
<svg xmlns="http://www.w3.org/2000/svg" width="14" height="14" viewBox="0 0 24 24" fill="white">
<path d="M20.447 20.452h-3.554v-5.569c0-1.328-.027-3.037-1.852-3.037-1.853 0-2.136 1.445-2.136 2.939v5.667H9.351V9h3.414v1.561h.046c.477-.9 1.637-1.85 3.37-1.85 3.601 0 4.267 2.37 4.267 5.455v6.286zM5.337 7.433a2.062 2.062 0 01-2.063-2.065 2.064 2.064 0 112.063 2.065zm1.782 13.019H3.555V9h3.564v11.452zM22.225 0H1.771C.792 0 0 .774 0 1.729v20.542C0 23.227.792 24 1.771 24h20.451C23.2 24 24 23.227 24 22.271V1.729C24 .774 23.2 0 22.222 0h.003z"/>
</svg>
View on LinkedIn
</a>
) : (
<React.Fragment>
<p style={{ fontSize: 13, lineHeight: 1.7, color: TEXT, margin: 0 }}>{exp.desc}</p>
<div style={{ marginTop: 12, display: "flex", gap: 6, flexWrap: "wrap" }}>
{exp.tags.map((t) => <Tag key={t}>{t}</Tag>)}
</div>
</React.Fragment>
)}
</Card>
</div>
))}
</div>
<div style={{ marginTop: 40 }}>
<h3 style={{ color: "white", fontSize: 20, textAlign: "center", marginBottom: 24 }}>Technical Arsenal</h3>
<div style={{ display: "grid", gridTemplateColumns: "repeat(4, 1fr)", gap: 12 }}>
{[
{ cat: "Languages", items: "Python, SQL, LaTeX, Bash, R, JavaScript" },
{ cat: "ML/DL", items: "TensorFlow, Keras, Scikit-learn, XGBoost, LSTM, HMM, SARIMA" },
{ cat: "AI/Agents", items: "LangChain, CrewAI, Ollama, DeepSeek, LangSmith, RAG" },
{ cat: "Finance", items: "Black-Scholes, Monte Carlo, DCF, VaR, Transfer Entropy" },
{ cat: "Data", items: "Pandas, NumPy, SciPy, Polars, NetworkX, igraph, Statsmodels" },
{ cat: "Infrastructure", items: "PostgreSQL, Supabase, FastAPI, Docker, Git, GitHub Actions" },
{ cat: "Viz", items: "Matplotlib, Seaborn, Plotly, Chart.js, D3.js" },
{ cat: "APIs", items: "FMP, Polymarket, Bluesky, GDELT, Tavily, Alpha Vantage" },
].map((s, i) => (
<div key={i} style={{ background: CARD, border: `1px solid ${CARD_BORDER}`, borderRadius: 8, padding: 16 }}>
<div style={{ fontSize: 11, color: ACCENT, fontWeight: 700, letterSpacing: 1, textTransform: "uppercase", marginBottom: 8 }}>{s.cat}</div>
<div style={{ fontSize: 12, color: TEXT_DIM, lineHeight: 1.6 }}>{s.items}</div>
</div>
))}
</div>
</div>
</Section>
{/* CONTACT */}
<Section id="contact">
<SectionTitle sub="Interested in research collaborations and quantitative problem-solving">Get In Touch</SectionTitle>
<div style={{ textAlign: "center", maxWidth: 500, margin: "0 auto" }}>
<p style={{ fontSize: 15, lineHeight: 1.8, color: TEXT, marginBottom: 32 }}>
Open to academic research collaborations, quantitative mathematics discussions,
and software engineering opportunities. If you're working on interesting problems at the
intersection of mathematics and computation, I'm happy to connect.
</p>
<div style={{ display: "flex", gap: 16, justifyContent: "center", flexWrap: "wrap" }}>
<a href="mailto:nickcosta32@gmail.com" style={{ display: "inline-block", padding: "14px 36px", background: ACCENT, color: "white", borderRadius: 8, textDecoration: "none", fontWeight: 600, fontSize: 14 }}>nickcosta32@gmail.com</a>
<a href="https://github.com/studyalwaysbro" target="_blank" style={{ display: "inline-block", padding: "14px 36px", background: CARD, color: "white", borderRadius: 8, textDecoration: "none", fontWeight: 600, fontSize: 14, border: `1px solid ${CARD_BORDER}` }}>GitHub</a>
<a href="https://www.linkedin.com/in/nicholas-tavares-34986399/" target="_blank" rel="noopener noreferrer" style={{ display: "inline-block", padding: "14px 36px", background: CARD, color: "white", borderRadius: 8, textDecoration: "none", fontWeight: 600, fontSize: 14, border: `1px solid ${CARD_BORDER}` }}>LinkedIn</a>
</div>
</div>
</Section>
{/* FOOTER */}
<footer style={{ padding: "32px 24px", borderTop: `1px solid ${CARD_BORDER}`, textAlign: "center" }}>
<div style={{ background: `${ACCENT}08`, border: `1px solid ${ACCENT}22`, borderRadius: 8, padding: 16, marginBottom: 20, maxWidth: 700, margin: "0 auto 20px" }}>
<p style={{ fontSize: 11, color: TEXT, margin: 0, lineHeight: 1.7 }}>
<b style={{ color: ACCENT }}>Disclosure:</b> This is a personal website. Nothing herein constitutes investment advice or a solicitation.
This site is not affiliated with or endorsed by any employer or financial institution.
All research content is academic and theoretical. <a href="#disclosures" style={{ color: ACCENT, textDecoration: "underline" }}>Full disclosures →</a>
</p>
</div>
<p style={{ fontSize: 12, color: TEXT_DIM, margin: 0 }}>
© {new Date().getFullYear()} Nicholas Tavares. Built with math, caffeine, and a rigorous curiosity about market structure.
</p>
<p style={{ fontSize: 11, color: `${TEXT_DIM}88`, marginTop: 8 }}>
"Understanding markets requires both humility and rigor," the kind of thing Keynes would say if he had Python
</p>
</footer>
</div>
);
}
ReactDOM.createRoot(document.getElementById("root")).render(<Portfolio />);
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</body>
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