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Research Interests

Granular media, fracture, high-performance computing, peridynamics, analysis and theory of partial differential equations, especially of nonlocal and nonlinear dispersive type, signal processing, machine learning.

Employment

Grinnell College

Assistant Professor, Department of Mathematics, 2024 - present

University of Utah

Postdoctoral Researcher, 2023 - 2024

Mentor: Prof. Ken Golden.

Louisiana State University

Postdoctoral Researcher, 2020 - 2023

Mentor: Prof. Robert Lipton

Education

The George Washington University

Ph.D. in Mathematics, May 2020

Advisor: Prof. Frank Baginski

Thesis title: Harmonic Analysis Techniques in Nonlinear Dispersive Equations and Signal Processing

Tata Institute of Fundamental Research Centre for Applicable Mathematics, Bengaluru, India

Master of Science (MSc) in Mathematics, May 2014

Indian Statistical Institute, Bengaluru, India

Bachelor in Mathematics, May 2012

Summer Research visits

Oak Ridge National Laboratory

Mathematical Sciences Graduate Internship (MSGI), National Science Foundation (NSF), Summer 2019

Supervisor: Dr. Pablo Seleson

University of Hawai’i at Manoa

Visiting Scholar, Summer 2018

Supervisor: Prof. Peter Gorham

Publications and preprints

Quasistatic fracture evolution using a nonlocal cohesive model. Debdeep Bhattacharya, Robert Lipton, Patrick Diehl. International Journal of Fracture, 2023. doi arXiv
Quasistatic evolution with unstable forces. Debdeep Bhattacharya, Robert Lipton. Multiscale Modeling and Simulation, 2023. doi arXiv
Simulating grain shape effects and damage in granular media using PeriDEM. Debdeep Bhattacharya, Robert P. Lipton. SIAM Journal on Scientific Computing, 2023. doi arXiv
Peridynamics-based discrete element method (PeriDEM) model of granular systems involving breakage of arbitrarily shaped particles. Prashant K Jha, Prathamesh S Desai, Debdeep Bhattacharya, Robert P Lipton. Journal of the Mechanics and Physics of Solids, 2020. doi arXiv
Peridynamics for Quasistatic Fracture Modeling. Debdeep Bhattacharya, Patrick Diehl, Robert P. Lipton. Proceedings of the ASME 2021 International Mechanical Engineering Congress and Exposition. doi arXiv
Mass concentration of $H^s$ blowup solution to 2D modified Zakharov-Kuznetsov equation Partial Differential Equations and Applications, 2021. doi arXiv
Unusual Near-Horizon Cosmic-Ray-like Events Observed by ANITA-IV. P. W. Gorham et al. Physical Review Letters, 2021. doi arXiv
Global well-posedness of the mZK equation in 2 dimensions for low-regularity data. Debdeep Bhattacharya, Luiz Gustavo Farah, and Svetlana Roudenko. Journal of Differential Equations, 2019. doi arXiv
Modeling The Launch Dynamics of a Large Scientific Balloon. Frank Baginski and Debdeep Bhattacharya, 43rd COSPAR Scientific Assembly, 2021. doi
Harmonic Analysis Techniques in Nonlinear Dispersive Equations and Signal Processing. Ph.D Dissertation, May 2020. ProQuest: 27831360

Technical reports

Deconvolution problem and application to ANITA signals, Report, submitted to ANITA collaboration at University of Hawai’i at Manoa (link)
Reduction of three-dimensional axisymmetric problems to two dimensions in Peridynamics, submitted to the NSF as part of MSGI program (link)

Honors and Achievements

Dean’s Graduate Conference Travel Grant, The George Washington University, 2017

Columbian College of Arts of Sciences Fellowship, The George Washington University, 2015 – present

Junior Research Fellowship from Tata Institute of Fundamental Research, India, 2012–2014

INSPIRE Scholarship from Department of Science and Technology, Government of India, 2010-2012

Student Fellowship from Indian Statistical Institute, 2009-2012

Secured an all-India rank $31$ in National Eligibility Test (NET) jointly conducted by Council of Scientific and Industrial Research and University Grant Commission, Government of India, 2013

Invited talks

19th U.S. National Congress on Theoretical and Applied Mechanics June 19, 2022, University of Texas at Austin, Austin, USA

University of Nebraska-Lincoln, February 24, 2022, Lincoln, USA

Applied Math Seminar, George Washington University, October 1, 2021, Washington, D.C., USA

16th U.S. National Congress on Computational Mechanics (USCNNM16), July 25, 2021, Chicago, USA (Virtual)

ALOP Workshop on Nonlocal Models, July 13, 2021, Universität Trier, Germany (Virtual)

MURI seminar series, California Institute of Technology, March 16, 2021, Pasadena, CA (Virtual)

3rd Annual Meeting of the SIAM Texas-Louisiana Section, October 16-18, 2020, College Station, TX, USA (Virtual)

MURI seminar series, California Institute of Technology, September 9, 2020, Pasadena, CA (Virtual)

13th AIMS Conference on Dynamical Systems, Differential Equations and Applications, June 5-9, 2020, Atlanta, USA

Computational and Applied Math (CAM) seminar, Computer Science and Mathematics Division, Oak Ridge National Laboratory, August 8, 2019

RIT in Applied Harmonic Analysis, Norbert Weiner Center, University of Maryland, May 13, 2019

Spring 2019 conference on Applied Mathematics, George Washington University, May 4, 2019

Antarctic Impulse Transient Anetann (ANITA) collaboration, December 10, 2018

Department of Physics, University of Hawai’i at Manoa, June 28, 2018

Graduate Student Seminar, The George Washington University, October 27, 2017

Poster Presentations

Fracture modeling in axisymmetric problems using peridynamics, Workshop on Experimental and Computational Fracture Mechanics: Validating peridynamics and phase field models for fracture prediction and experimental design, February 26-28, 2020

Fracture modeling in axisymmetric problems using peridynamics, Oak Ridge Postdoctoral Association (ORPA) Research Symposium, Oak Ridge National Laboratory, August 6, 2019

Global Well-posedness of 2d Modified Zakharov-Kuznetsov Equation for Low-regularity Data, 2019 Workshop on Nonlinear Dispersive Partial Differential Equations and Inverse Scattering, The Fields Institute, Toronto, Canada, May 21 - 24, 2019

Global Well-posedness of 2d Modified Zakharov-Kuznetsov Equation for Low-regularity Data, GW Research Days, George Washington University, April 9, 2019

Teaching Experience

Instructor

Fall 2023: Partial Differential Equations

Fall 2023: Business Algebra

Spring 2022: Mathematical Methods in Engineering

Summer 2017: Linear Algebra I

Summer 2016: Calculus with Pre-calculus I

Teaching Assistant

2015 - 2020: Calculus I, II, III, Calculus with Pre-calculus, Calculus for the Social and Management Sciences, Partial Differential Equations

Programming Experience

Languages: C/C++, Python, R, MATLAB

High performance computing: MPI, openmp, CUDA, CuPy, mpi4py

Machine learning: PyTorch, Tensorflow, scikit-learn, Keras

Data manipulation: Pandas, SQL, Excel

Visualization: matplotlib, ggplot2, seaborn, VisPy, VisIt, gmsh, meshio

Other tools: BASH, LaTeX, Git, Vim

GitHub profile: https://github.com/debdeepbh

Coding Projects

perigrain: A high-fidelity granular media simulation and analysis platform with deformation and fracture in arbitrary grain shapes using peridynamics and discrete element method. Applications include vehicle mobility on gravels of different shapes, hopper flow of deformable particles, among others.

Balloon launch dynamics: 3D simulation and analysis of the launch dynamics of high altitude balloons in python with MPI Parallelization

libWTools: Signal processing library using Fourier and wavelet-based tools

deconvolution: Recovering electromagnetic signals from blurred and noisy observations from array antennas using Fourier and wavelet analysis techniques, and by solving regularized optimization problems

crack: Numerical simulations of crack branching in sodalime glass using peridynamics

rexpense: Generating complex expense reports and statistics in a multi-user setup

ml: Machine learning projects with mathematical explanations

mathabotface: Automated theorem and lemma twitting bot

Professional Service

Co-organized seminars and symposia:

Minisymposium on Theoretical and computational aspects of nonlocal operators at the 7th SIAM Central States Annual Meeting, Oklahoma State University, October 1-2, 2022

Minisymposium on Peridynamic Theory and Multiscale Methods for Complex Material Behavior at the 9th GACM Colloquium on Computational Mechanics for Young Scientists from Academia and Industry in Essen, Germany, September 21-23, 2022

Spring 2019 Conference on Applied Mathematics, George Washington University, Washington, D.C., May 4, 2019

GWU-SIAM conference on Applied Mathematics, George Washington University, Washington, D.C., April 29, 2017

Reviewer for

Journal of Open Source Software

Computational Geoscience

Volunteered at the National Math Festival in the SIAM booth to demonstrate mathematical concepts to high-school level students, Washington, D.C., 2017, 2018

Served as the vice president of the SIAM chapter at the George Washington University, January 2016 - 2018

Conference and workshop participation

Workshop on Experimental and Computational Fracture Mechanics: Validating peridynamics and phase field models for fracture prediction and experimental design, February 26-28, 2020, Baton Rouge, Louisiana, USA

2019 Workshop on Nonlinear Dispersive Partial Differential Equations and Inverse Scattering, The Fields Institute, Toronto, Canada, May 21 - 24, 2019

February Fourier Talks, February 21-22, 2019, University of Maryland, USA

IAS/PCMI 2018 Summer Graduate School on Harmonic Analysis, July 1-21, 2018, Park City, Utah, USA

February Fourier Talks, February 15-16, 2018, University of Maryland, USA

Workshop on Dispersive Equations, Solitons, and Blow-up, September 4-8, 2017, Hausdorff Center of Mathematica, Bonn, Germany

French-American Conference on Nonlinear Dispersive PDEs, June 12-16, 2017, Centre International de Rencontres Mathematiques (CIRM), Luminy, Marseille, France

Research School on Random Structures in Statistical Mechanics and Mathematical Physics, March 6 -10, 2017, Centre International de Rencontres Mathematiques (CIRM), Luminy, Marseille, France

PDE/Analysis Mini School on Dynamics of the energy critical wave equations by Thomas Duyckaerts, University of North Carolina, Chapel Hill, 13-15 February, 2017

PDE/Analysis Mini School on Random Schrödinger operators: Basic properties, localization, and spectral statistics by Peter Hislop, University of North Carolina, Chapel Hill, 27-28 October 2016

Workshop on Getting Started with PDEs, The Hebrew University, Jerusalem, Israel, September 11 - September 15, 2016

Third Chicago Summer School In Analysis, University of Chicago, June 13 - June 24, 2016

PIRE-CNA 2016 Summer School on New Frontiers in Nonlinear Analysis for Materials, Carnegie Mellon University, Pittsburgh, June 2-10, 2016

Reading projects

Spring 2015: Algebraic Topology at Indian Statistical Institute, Kolkata, course taught by Prof. Goutam Mukherjee

Summer 2011: Differential Geometry at Indian Institute of Science Education and Research, Mohali, under the guidance of Prof. Kapil Hari Paranjape

Winter 2010: Measure Theory at Indian Statistical Institute, Bangalore with Prof. K. Ramamurthy

Summer 2010: Point Set Topology at Indian Statistical Institute, Kolkata with Prof. S. M. Srivastava

Languages

English, Bengali, Hindi, Marathi

Mailing Address

Department of Mathematics
Louisiana State University
303 Lockett Hall
Baton Rouge LA 70803-4918

CV in PDF format: Download