shakti singh

Associate Consultant

Bahadurgarh, Haryana, India6 yrs 9 mos experience
Most Likely To SwitchHighly Stable

Key Highlights

  • PhD in Mathematics with quantitative research expertise.
  • Developed advanced mathematical models for financial applications.
  • Passionate about translating research into practical financial solutions.
Stackforce AI infers this person is a quantitative researcher in the Fintech industry.

Contact

Skills

Core Skills

Statistical ModelingStochastic ModellingDerivatives PricingCredit Risk Modeling

Other Skills

Applied MathematicsCrank–NicolsonFinancial ForecastingFinancial mathematicsMonte Carlo methodsPDEPSORProbability TheoryPythonPython (Programming Language)RR (Programming Language)StatisticsVariable Annuities

About

I am a quantitative researcher with a PhD in Mathematics from IIT Delhi and postdoctoral research experience at UQAM, Canada. My core expertise lies in derivatives pricing, credit risk modeling, actuarial modeling and stochastic numerical methods. Over the years, I have developed and implemented advanced mathematical models, including: * Regime-switching structural credit risk models with climate-driven degradation * American-style defaultable claims using Crank–Nicolson PDE + PSOR * Monte Carlo engines combined with least squares Monte Carlo (LSMC) * Volatility forecasting (GARCH / ARIMA) using real-world data (e.g. Reuters Eikon) I build and optimize models in Python, R, MATLAB, and C++, calibrating them to market data to produce actionable risk metrics, default probabilities, and credit spreads. My work leads to faster simulation speeds, more accurate pricing, and greater robustness in risk evaluation. I am passionate about translating advanced mathematical research into practical, high-impact financial solutions — whether for risk management, portfolio management, or derivative pricing. I'm open to collaborations, industry roles in quant research, or academic partnerships.

Experience

Uqam | université du québec à montréal

Postdoctoral Researcher

Apr 2025Nov 2025 · 7 mos · Montreal, Quebec, Canada · On-site

  • Designed and implemented a regime-switching structural credit risk model that incorporates climate-driven degradation in firm value.
  • Developed a hybrid Monte Carlo + PDE framework to compute survival probabilities and price defaultable bonds.
  • Implemented a Crank–Nicolson + PSOR solver for American-style defaultable claims.
  • Calibrated credit spread curves and default probabilities to market data using Python/R.
  • Optimized simulation performance, reducing computation time by ~40%
PythonRMonte Carlo methodsPDECrank–NicolsonPSOR+2

Indian institute of technology, delhi

4 roles

Project Expert

Promoted

Nov 2022Present · 3 yrs 4 mos

  • Nov. 2022-March 2024 ] Project Title Probability and Statistics Virtual Lab.
  • Principal Coordinator: Prof. Dharmaraja Selvamuthu, Department of math-
  • ematics, Indian institute of Technology, Delhi.
  • Co-Principal Coordinator: Dr. Vidyottama Jain, Central University of Ra-
  • jasthan, Kishangarh, Rajasthan
  • Funding Agency: MoE, India.

Research Scholar

Sep 2020Present · 5 yrs 6 mos

R (Programming Language)StatisticsPython (Programming Language)Probability TheoryFinancial mathematicsVariable Annuities+2

Teaching Assistant

Sep 2020Present · 5 yrs 6 mos

  • Teaching Assistant (January 2020-Present), Department of Mathematics, Indian
  • Institute of Technology Delhi, New Delhi.
  • Courses: Introduction to Probability and Stochastic Processes(MTL 106), Fi-
  • nancial Mathematics(MTL 732), Introduction to statistics(MTL-108)
  • Teaching Assistant for National Programme on Technology Enhanced Learn-
  • ing (NPTEL) courses.
  • Courses: Introduction to Probability Theory and Stochastic Processes

Research Scholar

Feb 2020Feb 2023 · 3 yrs

  • Project Title Valuing Variable Annuities with Lifelong Guarantees.
  • Principal Coordinator: Prof. Dharmaraja Selvamuthu, Department of math-
  • ematics, Indian institute of Technology, Delhi.
  • Funding Agency: Department of Science and Technology, India.

Indian institute of technology (iit) goa

Visiting Fellow

Jul 2022Jul 2022 · 0 mo · On-site

  • Selected for the "High-End workshop on ‘Computational Finance‘" at IIT Goa funded by SERB.

Indian institute of technology, roorkee

Research Project

Jul 2019Jul 2020 · 1 yr · On-site

Delhi university

Intern

Nov 2018Dec 2018 · 1 mo · On-site

  • Winter Intern at University of Delhi.
  • Title: Stochastic Process and its application.
  • Supervisor: Dr. Vandana Khaithan
  • Markov process, Semi Markov process, Strictly stationary process,
  • wide sense stationary process, independent process.
  • Bernoulli process, Binomial process, Geometric process, Poisson
  • process, superposition and decomposition of independent poisson
  • processes.
  • The M/G/Infinity queue, Renewal process, Availability analysis,
  • Random incidence, Blaclwell’s theorem, Key renewal theorem.

Education

Indian Institute of Technology, Delhi

Doctor of Philosophy - PhD — Financial Mathematics

Sep 2020Aug 2025

Delhi University

bsc — Applied Mathematics

Jan 2015Jan 2018

Institute and Faculty of Actuaries

CS1

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