Dr. Abhishek Chaudhary

• Nov 2022 – PresentPost-doc Fellow, Universität Tübingen, Mathematisches Institut. Mentor: Prof. Andreas Prohl
• Sep 2022 – Oct 2022Post-doc Fellow, TIFR, Centre for Applicable Mathematics, Bangalore, India. Supervisor: Prof. Ujjwal Koley

• Aug 2018 – Aug 2022PhD Research Scholar, TIFR, Centre for Applicable Mathematics, Bangalore, India. Thesis advisor: Prof. Ujjwal Koley
  Thesis title: On kinetic and measure-valued solutions to fluid flow equations.
• 2016 – 2018M.Sc in Mathematics, TIFR, Centre for Applicable Mathematics. University: Tata Institute of Fundamental Research, Mumbai. Marks: 80.25%.
• 2013 – 2016B.Sc (Honours) in Mathematics, Deen Dayal Upadhyaya College, University of Delhi. Marks: 91.67%.

• Stochastic Partial Differential Equations (SPDEs)
• Stochastic Conservation Laws
• Numerical Analysis
• Stochastic Optimal Control Problem
• Regularization Effect of Noise
• Statistical Learning
• Machine Learning

• A. Chaudhary; A numerical method to simulate the stochastic linear-quadratic optimal control problem with control constraint in higher dimensions, preprint 2024, under review in Numerische Mathematik. web link
• A. Chaudhary, U. Koley and E. Wiedemann; Dissipative measure-valued solutions to Euler-alignment system, preprint 2024. web link
• A. Chaudhary, F. Merle, A. Prohl, Y. Wang; An efficient discretization to simulate the solution of linear-quadratic stochastic boundary control problem, preprint 2024 . web link
• A. Chaudhary; Stochastic fractional conservation laws, J. Math. Anal. Appl. 531 (2024). web link
• A. Chaudhary; Stochastic degenerate fractional conservation laws, Nonlinear Differential Equations and Applications NoDEA, 30 (2023), no. 3, Paper No. 42, 48 pp. web link
• A. Chaudhary and G. Vallet; A short remark on inviscid limit of the stochastic Navier–Stokes equations, Z. Angew. Math. Phys. (2023) 74:219. web link
• A. Chaudhary and Ujjwal Koley; A convergent finite volume scheme for the stochastic barotropic compressible Euler equations, ESAIM Math. Model. Numer. Anal., 57 (2023), no. 6. web link
• A. Chaudhary and U. Koley; On weak-strong uniqueness for stochastic equations of incompressible fluid flow, Journal of Mathematical Fluid Mechanics, 24 (2022), no. 3, Paper No. 62, 33 pp. web link
• A. Chaudhary; Convergence of a spectral method for the stochastic incompressible Euler equations, ESAIM Math. Model. Numer. Anal., 56 (2022), no. 6. web link

• Sep – Oct 2024: Travel grant from U. Tübingen. To participate in ICTS program on Deterministic and Stochastic Analysis of Euler and Navier-Stokes Equation, Bangalore, India.
• Feb – Mar 2024: Travel grant from U. Tübingen. For a visit to TIFR CAM Bangalore, IIT Delhi, IIT Roorkee, IIT Ropar, India.
• May 2023: Research grant from U. Tübingen. For a visit to University of Pau, France.
• July 2022: Research grant from TIFR CAM fund. To attend 2nd IST Austria Summer School in Analysis and PDEs in Institute of Science and Technology Austria, Klosterneuberg.
• Feb – Mar 2022: Research grant from IFCAM Project. "Evolutionary PDEs: degeneracy, noise and approximations" for a visit to U. Pau, France.

• Nov 2022 – Present: Post Doctoral Fellowship, University of Tübingen
• Sep 2022 – Oct 2022: Post Doctoral Fellowship, Tata Institute of Fundamental Research
• Aug 2018 – Aug 2022: Doctoral Fellowship, Tata Institute of Fundamental Research
• July 2016 – July 2018: Master's Fellowship, Tata Institute of Fundamental Research
• 2016: M.Sc and Int. Ph.D entrance exams cleared (IIT Guwahati, IISER Bhopal, IISER Mohali, TIFR CAM Bangalore)
• 2013 – 2016: INSPIRE Scholarship for Higher Education, Department of Science and Technology, India

• April 2025 – Present: Teaching, U. Tübingen (Financial Mathematics and Numerics, 3h/week)
• Oct 2024 – Feb 2025: Teaching, U. Tübingen (Numerical Optimization, 3h/week)
• April–July 2024: Teaching, U. Tübingen (Optimal control theory with ODE and numerics, 3h/week)
• Oct 2023 – Feb 2024: Teaching, U. Tübingen (Stochastic differential equations with numerics, 3h/week)
• April 2024 – July 2024: Co-instructor, U. Tübingen (Instructor: Prof. Andreas Prohl, Statistical Learning - 1)
  Conducted discussions with graduate students to prepare seminar talks (2h/week).

• April 2023 – July 2023: Teaching Assistance, U. Tübingen (Prof. Andreas Prohl, Statistical Learning - 2), Conducted tutorial classes (2h/week).
• April 2023 – July 2023: Teaching Assistance, U. Tübingen (Prof. Andreas Prohl, Seminar Statistical Learning - 1), Conducted tutorial classes (2h/week).
• Feb 2020: Teaching Assistant, TIFR-CAM (Prof. Martina Hofmanová, Stochastic Compressible Fluid Flows), Conducted discussion classes.
• Jan – July 2020: Teaching Assistant, TIFR-CAM (Prof. Ujjwal Koley), Fluid Mechanics, Conducted discussion classes and assigned grades.
• Aug 2019: Teaching Assistant, TIFR-CAM, NCMW-System of Conservation Laws Theory and Numerics, Hyperbolic Conservation Laws, Conducted discussion classes.
• Jan – July 2019: Teaching Assistant, TIFR-CAM (Prof. Ujjwal Koley), Measure Theory, Conducted discussion classes and assigned grades.
• Aug–Dec 2018: Teaching Assistant, TIFR-CAM (Prof. Ujjwal Koley), Probability Theory, Conducted discussion classes and assigned grades.
• May–June 2018: Teaching Assistant, TIFR-CAM, SWM program for Undergrads, Real Analysis, Linear Algebra, and Advanced Calculus, Conducted discussion classes.

• April 2025: Talk, ICMS Edinburgh, U.K. — An efficient, implementable discretization of SLQ problem and convergence with rates
• Sep 2024: Talk, IIT Jammu, India — An efficient discretization to simulate the solution of linear-quadratic stochastic boundary control problem
• March 2024: Talk, IIT Roorkee, India — An efficient discretization to simulate the solution of linear-quadratic stochastic boundary control problem
• March 2024: Talk, IIT Ropar, India — An efficient discretization to simulate the solution of linear-quadratic stochastic boundary control problem
• March 2024: Seminar talk for graduate students, University of Delhi, New Delhi — Linear quadratic optimal control problem and numerical optimization
• March 2024: Talk, IIT Delhi, India — An efficient discretization to simulate the solution of linear-quadratic stochastic boundary control problem
• Feb 2024: Talk, TIFR CAM, Bangalore — An efficient discretization to simulate the solution of linear-quadratic stochastic boundary control problem
• Feb 2024: Seminar Talk, University of Tübingen — Stochastic Linear Quadratic Optimal Control Problem
• May 2023: Seminar Talk, University of Pau, France — Measure-valued solution to incompressible Euler equations with stochastic forcing

• April 2025: ICMS, Edinburg,U.K. Numerical Modelling of Nonlinear Stochastic Systems
• Feb 2025: Swiss MAP Research Station in Les Diablerets, Switzerland — Swiss Map Workshop: Stochastic Equations and Stochastic Dynamics
• Sep 2024: ICTS, Bangalore, India — ICTS program on Deterministic and Stochastic Analysis of Euler and Navier-Stokes Equation
• July 2022: Institute of Science and Technology Austria, Klosterneuberg — 2nd IST Austria Summer School in Analysis and PDEs
• Sep – Dec 2020: IIT Kanpur, IISER-Pune, IISER-Kolkata, TIFR-CAM — Webinar on PDE and related areas
• Feb 2020: TIFR-CAM, Bangalore — Compact Course on Mathematical aspects of Stochastic Compressible Fluid Flows by Prof. Martina Hofmanová
• Jan – Feb 2019: TIFR-CAM, Bangalore — Compact Course on Mathematical Aspects of Euler Equations by Prof. Eduard Feireisl
• May 2018: TIFR-CAM, Bangalore — Compact course on stochastic scalar first-order conservation laws by Prof. Julien Vovelle
• June – July 2017: TIFR-CAM, Bangalore — ATM School: AIS Linear Partial Differential Equations

• Potential theory by Prof. Kaushik Ramachandran, TIFR-CAM, 2019
• Harmonic analysis by Dr. Ramesh Manna, TIFR-CAM, 2018
• Microlocal analysis by Prof. Venkateswaran P. Krishnan, TIFR-CAM, 2018
• Kinetic theory for scalar conservation laws by Prof. K.T. Joseph, TIFR-CAM, 2018
• L^p theory for elliptic PDEs by Prof. K. Sandeep, TIFR-CAM, 2018

Real Analysis	Topology	Linear Algebra	Theory of ODE
Measure and Integration	Functional Analysis	Algebra	Elementary PDE
Complex Analysis	Numerical Analysis	Probability Theory	Advanced PDE-I
Computational Methods	Differential Geometry	Mechanics	Advanced PDE-II

• Reviewer, Stochastics and Partial Differential Equations: Analysis and Computations
  Reviewed a paper on topic related to compressible fluid flow equations. certificate
• Reviewer, Nonlinear Differential Equations and Applications NoDEA
  Reviewed a paper on topic related to mathematical analysis and SPDEs. certificate
• Reviewer, Computational Methods in Applied Mathematics (CMAM)
  Reviewed a paper on topic related to SPDEs and numerical analysis. certificate
• Reviewer, Zeitschrift für angewandte Mathematik und Physik
  Accepted invitation to review a paper on topic related to well-posedness theory for a particular system of SPDEs.

 

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