Education | Fragment Research

Johns Hopkins University

Master of Science in Applied and Computational Mathematics

Coursework:
- Calculus I.
- Calculus II.
- Multivariable Calculus and Complex Analysis.
- Linear Algebra and Its Applications.
- Introduction to Programming using Python.
- Data Structures.
- Algorithms for Data Science.
- Statistical Methods and Data Analysis.
- Statistical Models and Regression.
- Matrix Theory.
- Monte Carlo Methods (Spring ’26).
- Principles and Methods in Machine Learning (Spring ’26).
- Probability and Stochastic Processes I (Summer ’26).
- Game Theory (Summer ’26).

Cumulative GPA:
- 4.000 / 4.000.

Northern Illinois University

Master of Science in Financial Risk Management

Coursework:
- Derivatives.
- Fixed Income Securities.
- Portfolio Analysis.
- Data Analysis.
- Investment Management (Risk Measurement and Analysis).
- Financial Management Strategies (Options).
- Financial Analysis (Mergers & Acquisitions).
- Risk Management I (Market, Credit, and Liquidity Risk).
- Fundamentals of Financial Markets.
- Time Series Analysis (Forecasting).

Activities & Societies:
- Graduate Economics Students Association (GESA).
- Soccer Team.

Cumulative GPA:
- 3.934 / 4.000.

University of Novi Sad – Faculty of Economics

Bachelor of Science in Economics / Management

Coursework:
- Information Technology.
- Mathematics for Economics.
- Macroeconomics.
- English 1.
- Philosophy.
- Microeconomics.
- Accounting.
- Entrepreneurship.
- Economics of Enterprise.
- Sport and Physical Education.
- Economic System and Economic Politics.
- Principles of Management.
- Finance.
- Statistics.
- Theory of Organization.
- Management of Human Resources.
- Econometrics.
- Banking.
- English 2.
- Business Law.
- Environment Management.
- Economics in Tourism and Hospitality.
- Managerial Information Systems.
- International Economics.
- Urban Environment Management.
- Final Seminar Work.
- Principles of Marketing.
- Business Finance.
- Political Economy.
- Project Management.
- Organization of Tourist and Hospitality Enterprises.
- Organization Project.
- Organisational Behavior.
- Risk Management.
- Business Analysis.
- Strategic Management.

Activities & Societies:
- Association of Undergraduate Students; active participant in the Student Parliament, representing students' legal and academic interests.
- Soccer Team.

Cumulative GPA:
- 3.434 / 4.000.

High School – Gymnasium “Žarko Zrenjanin”

Department of Science and Mathematics

Defended a graduation thesis titled "Nikola Tesla – Life and Work" with an excellent (A) grade.

Activities:
- Soccer Team.

Graduation GPA:
- 4.330 / 5.000.

Certifications

Forage - J.P. Morgan Quantitative Research. July 2025
Forage - Markets Quantitative Analysis (MQA). July 2025
University of Chicago - Linear Algebra and Python (Pre-MSFN). April 2023 – May 2023
Bloomberg Market Concepts Certification. January 2019
DataCamp - Python, R, SQL for Finance and Data Science. October 2018 – April 2019

Projects

Website development (full stack):
- Built and deployed a full-stack research platform with client-side search using HTML, CSS, JavaScript, AWS Amplify CI/CD, Cloudflare domain/SSL, Plausible Analytics integration, and integrated a newsletter subscription system with extensible backend design (AWS SES architecture).
Portfolio Optimization (independent research):
- Developed multiple portfolio optimization frameworks using daily returns, including Global Minimum Variance, Maximum Return (box-constrained), Dollar-Neutral, Risk Parity, and Tangency portfolios.
- Interpreted how different objectives and constraints significantly change asset allocations, risk levels, and return distributions, ranging from diversified risk-parity solutions to fully concentrated tangency portfolios.
- Analysis complemented with statistical comparisons, density plots, and utility/indifference curve theory to connect empirical optimization results with investor risk preferences.
Wall Street Training in Python (CFA Society Chicago):
- Implemented a full mean–variance optimization framework using quadratic programming to construct the Efficient Frontier under long-only and box constraints.
- Computed Global Minimum Variance and tangency portfolios via covariance estimation and solved for maximum Sharpe ratio under risk-free rate assumptions.
- Analyzed sensitivity to covariance structure, return inputs, and constraint regimes.
Option Pricing (university project):
- Priced European and American derivatives under risk-neutral measure using Black–Scholes PDE, binomial / trinomial lattices, and Monte Carlo simulation with variance reduction techniques.
- Examined early exercise features, convergence behavior of lattice models, and Greeks sensitivity to volatility and rate shifts.
Fixed Income (university project):
- Priced fixed-income securities using discounted cash flow (DCF) and term structure models; computed Yield-to-Maturity (YTM), spot rates, forward rates, duration, convexity, and key rate duration.
- Modeled spread risk and price sensitivity under parallel and non-parallel yield curve shifts.
StockTrak Global Portfolio Simulations and Trading Room Software (university project):
- Performed multi-factor performance evaluation using Sharpe ratio, Jensen’s alpha (CAPM), Treynor ratio, R², and parametric / historical VaR.
- Decomposed systematic vs. idiosyncratic risk exposure and achieved a 4% excess return vs thr S&P 500 and DIA over a 10-week horizon on a risk-adjusted basis.