About Me

I am a first year PhD student at the Australian National University, Mathematical Sciences Institute, supervised by Dr. Asilata Bapat. I am mainly interested in the combinatorics of certain objects that arise from categorical and geometric representation theory.

Photo of Tanisha

Activities

Recent and upcoming

Talks

  • Algebraic Groups and Root Systems, Graduate Seminar, ANU Mathematical Sciences Institute, March 2026
  • Representation Theory of Quivers, CMIT - Club of Mathematics IISER Thiruvananthapuram, March 2025
  • Zig-zag Algebras and Braid Actions, CMIT - Club of Mathematics IISER Thiruvananthapuram, August 2024

Workshops / Conferences

  • Kioloa Algebra Workshop, ANU Kioloa Campus, December 2025
  • Frontier Symposium in Mathematics, IISER Thiruvananthapuram, January 2025
  • Representation Theory of Quivers and BGG Category O for Semisimple Lie Algebras, NCM Workshop, IIT Kanpur (Online), December 2024
  • Frontier Symposium in Mathematics, IISER Thiruvananthapuram, February 2024

Tutoring

  • 2322 Algebra 1, Workshop demonstrator, Semester 2 2026 ANU MSI
  • 1115 Advanced Mathematics and Applications, Workshop demonstrator, Semester 1 2026 ANU MSI

Research Interests

I am currently thinking about various combinatorial objects like convex orders on positive systems of roots, reduced expressions of the long element, Bridgeland stability conditions, pseudoline arrangements, subword complexes, and ppt (pointed pseudo-triangulation) complexes. The aim is to build a combinatorial dictionary to link all these objects.

In 2024, wrote a sage code with Dr. Asilata Bapat which computes the stable objects for a Bridgeland stability condition on a 2 Calabi-Yau category

Education

2025 – Present

Doctor of Philosophy

Australian National University, Mathematical Sciences Institute

2023 – 2025

Master of Science, Mathematics

Indian Institute of Science, Education and Research - Thiruvananthapuram

2020 – 2023

Bachelor of Science, Mathematics

Ramnarain Ruia Autonomous College

Contact

2.54 Hanna Neumann Building #145, Science Road, Australian National University, Acton 2601

tanishamandar.talekar@anu.edu.au

tanishatalekar23@alumni.iisertvm.ac.in