Curriculum Vitae

Link to a PDF version of the CV.


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 Interests: Teichmüller theory, mapping class groups, hyperbolic geometry


  • 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)


  • 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)


  • 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


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


  • [email protected] (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.


  • 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)