Institute of Mathematics, Academia Sinica

output

20022026

most citedLog-concavity and LC-positivity

85 citations

researchers with a paper here

collaborating institutions

89 papers

math.DG2026

Positive mass theorem and the Yamabe equation on CR manifolds

Jih-Hsin Cheng

Our goal is to survey the development of positive mass theorem and the Yamabe equation on CR manifolds in recent years. We introduce the notion of the mass in several complex varia…

hep-lat2025★ 1 cited

Lecture Notes on Normalizing Flows for Lattice Quantum Field Theories

Miranda C. N. Cheng, Niki Stratikopoulou

Numerical simulations of quantum field theories on lattices serve as a fundamental tool for studying the non-perturbative regime of the theories, where analytic tools often fall sh…

math.AG2025

Toda-Type Presentations for the Quantum K Theory of Partial Flag Varieties

Kamyar Amini, Irit Huq-Kuruvilla, Leonardo C. Mihalcea +2

We prove a determinantal, Toda-type, presentation for the equivariant K theory of a partial flag variety $Fl (r_{1}, \dots, r_{k}; n)$ . The proof relies on pushing forward the Toda…

math.CV2024★ 2 cited

Defect relation of $n + 1$ components through the GCD method]

Min Ru, Julie Tzu-Yueh Wang

This paper studies the defect relation through the GCD method. In particular, among other results, we extend the defect relation result of Chen, Huynh, Sun and Xie to moving target…

math.NT2024

A segment of Euler product associated to a certain Dirichlet series

Rajat Gupta, Aditi Savalia

In the spirit of the work of Hardy-Littlewood and Lavrik, we study the Dirichlet series associated to the generalized divisor function $σ_{α} (n) := \sum_{d ∣ n} d^{α}$ . We obtain an exact i…

math.NT2024

Pairs of commuting integer matrices

Tim Browning, Will Sawin, Victor Y. Wang

We prove upper and lower bounds on the number of pairs of commuting $n \times n$ matrices with integer entries in $[- T, T]$ , as $T \to \infty$ . Our work uses Fourier analysis and lead…