My research focuses on stable homotopy theory and its interactions with other fields, particularly algebraic K-theory, number theory, equivariant algebra and combinatorics.
My thesis work involve studying the algebraic K-theory of the sphere spectrum and the equivariant variants of algebraic K-theory, aiming to deepen our understanding of these fundamental structures.
More detailed explanations can be found in my Research Statement.
K-theoretic Tate-Poitou duality at prime 2, Advances in Mathematics. 477 (2025), Paper No. 110370, 26 pp. arXiv
Realizing Compatible Pairs of Transfer Systems by Combinatorial N∞-operads (with David Chan, David Mehrle, Pablo Sanchez Ocal, Angelica Osorno, Ben Szczesny, Paula Verdugo) arxiv
Algebraic extension of Tambrara functors
Structural invariance of Green-Griffiths-Demailly Thresholds on compact complex orbifolds (with Geonhee Cho)
Real homological trace methods (with Teena Gerhardt, Liam Keenan, Juan Moreno, J.D. Quigley)
Topology seminar, Texas State University, October 2025
Algebra seminar, Indiana University, April 2025
Special Session on Homotopy theory and algebraic K-theory, AMS 2025 Spring Central Sectional Meeting, March 2025
Algebraic Topology Seminar, Columbia University, October 2024
Topology Seminar, University of Virginia, October 2024
Topology seminar, Indiana University, October 2024
Homotopy seminar, Ohio State University, September 2024
Advances in Algebraic Topology, MMA MathFest 2024, Auguest 2024 - Slide
FRG Online Seminar, Janunary 2024
Binghamton University Graduate Combinatorics, Algebra, and Topology Conference, November 2023 - Slide
Scissors Congruence, Algebraic K-Theory, and Trace Methods, July 2023 - Note