Research Interests
Research Interests
I am interested in Quantum Topology, Hyperbolic Geometry, Topological Quantum Field Theories, and Volume Conjecture.
On the side, I am interested in some topics from mathematical physics, namely, topological phases of matter and topological quantum computing.
Jun 2025 Topological phases of matter, Quantum Error Correction, and Topological twists, APL Quantum; 2 (3): 031501
Feb, 2025 Adaptive Graph of Thoughts: Test-Time Adaptive Reasoning Unifying Chain, Tree, and Graph Structures, (Tushar et Al.), preprint: 2502.05078
July, 2024 Efficient variational quantum eigensolver methodologies on quantum processors, (Tushar et Al.), preprint: 2407.16107
June, 2024 Modeling Sea Level Rise Using Ensemble Techniques: Impacts on Coastal Adaptation, Freshwater Ecosystems, Agriculture and Infrastructure, (Sambandh et. Al.), Analytics, 3(3):276-296
Feb, 2024 Generalized Bonahon-Wong-Yang volume conjecture of quantum invariants of surface diffeomorphisms I: the figure eight knot complement, (with Ka Ho Wong), preprint: 2402.04483
Nov, 2023 The Bonahon-Wong-Yang volume conjecture for the four-puncture sphere, preprint: 2311.13151
Sep, 2023 Geometry of fundamental shadow link complements and applications to the 1-loop conjecture, (with Ka Ho Wong), preprint: 2308.06643
Sep, 2022 Topological Characterization with a Twist, Condensation, and Reflection, (Joint with E. Dumitrescu), preprint: 2209.11126
May 2021 On the asymptotic expansion for the relative Reshetikhin-Turaev invariants of fundamental shadow link pairs, (With Ka Ho Wong), preprint 2105.08805
Talks
BWY volume conjecture for incomplete structures, Geometry/Topology seminar, Rutgers University
Generalized BWY volume conjecture, Topology seminar, Michigan State University
Quantum invariants for punctured sphere, Workshop in Geometric topology, Colorado college
ZX-live, Quantinuum hackathon, ICTP, Italy
Quantum invariants for surface diffeomorphisms, AMS southeastern sectional meeting, Georgia institute of Technology
Toric Code, Doubled Semion and Ising anyons, Quantum workshop, North Carolina State University
From Jones Polynomial to Volume Conjecture, Low-Dimension Topology Seminar, Texas A&M University
Category Theory and Topological phases of matter, Oak Ridge National Labs, Oak Ridge, TN
Tetrahedral Decomposition, Graduate School on Geometric Group Theory and Low Dimension Topology, ICMAT, Madrid, Spain
Brief History of Volume Conjecture, Braids in Low Dimension Topology, ICERM, Brown University, RI
Topological data from the ground state Hamiltonian, (with Eugene Dumitrescu), NSF MSGI 2021 Summer Symposium, Oak Ridge National Labs, TN
Art to Mathematics to Quantum, Gathering in Graduate Expository Mathematics, Texas A&M University, TX