Curriculum Vitae

Link to a PDF version of the CV.

Education

University of Michigan Ph.D., Mathematics, Expected 2024

Indian Institute of Science B.Sc. (Research), Mathematics, 2018 Honors Thesis, The Laplacian on Riemannian manifolds

Research

Research Interests: Teichmüller theory, mapping class groups, hyperbolic geometry

Papers

  • The limit set of non-orientable mapping class groups. (To appear in Journal of Modern Dynamics; arXiv:2110.0003)
  • Pseudo-Anosov homeomorphisms of punctured non-orientable surfaces with small stretch factor. With Caleb Partin and Rebecca R. Winarski. (To appear in Algebraic and Geometric Topology; arXiv:2107.04068)

Teaching

  • Instructor for Math 116 (Calculus II) (Fall 2021, Winter 2020, Fall 2019)
  • Teaching assistant for Math 215 (Multivariable Calculus) (Fall 2020)
  • Instructor for Math 115 (Calculus) (Winter 2019)
  • Instructor for Math 105 (Precalculus) (Fall 2018)

Awards

  • Rackham Predoctoral Fellowship, 2022-2023
  • UMich Math Department Graduate Fellowship, Summer 2019-2020
  • DAAD-WISE Fellowship at University of Münster, 2017
  • KVPY Fellowship, 2014-2018

Talks

Invited Talks

  • The limit set of non-orientable mapping class groups. (Topology Students Workshop (Summer 2022), Rice University Topology Seminar (Fall 2021), CUNY Geometry and Topology Seminar (Fall 2021))
  • A tour through the proof of Margulis Superrigidity. (University of Michigan Topology Seminar (Fall 2019))
  • The strange dynamics of non-orientable surfaces. (BUGCAT 2020 (Fall 2020))

Student Seminars

  • What is Quantum Unique Ergodicity?
  • A proof of Mostow Rigidity
  • Counting orbit points and Patterson-Sullivan measures
  • Upgrading ergodicity to mixing
  • The geodesic flow on symmetric spaces
  • Constructing complex structures on surfaces via the Beltrami equation

Mentorship

  • MathDRP@UM (Fall 2022): Mentored an undergraduate student in a directed reading of Willian Fulton's 'Algebraic Curves'.
  • Lab of Geometry at Michigan (Winter 2021): Mentored a group of undergraduate students who implemented the Lelièvre-Weiss convexity test in Sage for squared-tiled surfaces in H(2).
  • University of Michigan REU (Summer 2020): Graduate student mentor for the REU hosted by Alex Wright in the summer of 2020.
  • QR study group leader (Summer 2021): Led the real analysis study group to help incoming grad students prepare for the qualifying review.

Service

  • Mentor for LOG(M), Winter 2021
  • Co-organizer for Student Dynamics, Geometry, and Topology Seminar, 2020-2021

Conferences, summer schools, and workshops attended

  • Salt Flats Teichmüller dynamics research cluster, January 2023
  • Topology Students Workshop, July 2022
  • Park City Math Institute Summer Graduate School, July 2021
  • CMI-HIMR Dynamics and Geometry Online Summer School, Clay Mathematics Institute, Heilbronn Institute for Mathematical Research, June 2021
  • Midwest Dynamical Systems, Fall 2021 and Fall 2019
  • Nearly Carbon Neutral Geometry and Topology Conference, 2022 and 2021
  • MSRI Summer School on 'Random and arithmetic structures in topology', June 2019
  • Houston Summer School on Dynamical Systems, June 2019
  • AIS on algebraic geometry, IISER Pune, July 2018
  • BMS Student Conference, Freie Universität Berlin, February 2018
  • Geometry, Groups, and Dynamics, ICTS Bangalore, November 2017
  • ITCSC-INC Winter School, Chinese University of Hong Kong, January 2017

Technical skills

I am proficient in the use of following languages, and technical tools

  • Haskell
  • Python (including Sage)
  • Rust
  • Lean theorem prover
  • C (including CUDA)