Institute of Mathematics, Academia Sinica

output

19952026

most citedA transformed rational function method and exact solutions to the 3+1 dimensional Jimbo-Miwa equation

620 citations

researchers with a paper here

Counting papers with at most 25 authors, so collaboration author lists do not stand in for the people here.

collaborating institutions

274 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…

math.NT2024★ 1 cited

Harper's beyond square-root conjecture

Victor Y. Wang, Max Wenqiang Xu

We explain how the (shifted) Ratios Conjecture for $L (s, χ)$ would extend a randomization argument of Harper from a conductor-limited range to an unlimited range of ``beyond square-…

math.NT2024★ 1 cited

Sums of three cubes over a function field

Tim Browning, Jakob Glas, Victor Y. Wang

We use a function field version of the circle method to prove that a positive proportion of elements in $F_{q} [t]$ are representable as a sum of three cubes of minimal degre…

math.CO2024★ 5 cited

Asymptotically Optimal Proper Conflict-Free Colouring

Chun-Hung Liu, Bruce Reed

A proper conflict-free colouring of a graph is a colouring of the vertices such that any two adjacent vertices receive different colours, and for every non-isolated vertex $v$ , som…

hep-th2023★ 11 cited

The giant graviton expansion in $A d S_{5} \times S^{5}$

Giorgos Eleftheriou, Sameer Murthy, Martí Rosselló

The superconformal index of $\frac{1}{2}$ -BPS states of $N = 4$ U(N) super Yang-Mills theory has a known infinite $q$ -series expression with successive terms suppressed by $q^{N}$ . We deri…

math.QA2023

The classification of vertex operator algebras of OZ-type generated by Ising vectors of $σ$ -type

Cuipo Jiang, Ching Hung Lam, Hiroshi Yamauchi

We classify vertex operator algebras (VOAs) of OZ-type generated by Ising vectors of $σ$ -type. As a consequence of the classification, we also prove that such VOAs are simple, rati…

math.AG2023★ 1 cited

The cdh-local motivic homotopy category

Adeel A. Khan

We construct a cdh-local motivic homotopy category SH_cdh(S) over an arbitrary base scheme S, and show that there is a canonical equivalence between SH_cdh(S) and SH(S). We learned…

astro-ph.SR2023★ 1 cited

Semi-analytic calculations for extended mid-Infrared emission associated with FU Ori-type objects

Michihiro Takami, Pin-Gao Gu, Gilles Otten +4

(Aims) Near-infrared imaging polarimetry at high-angular resolutions has revealed intriguing distribution of circumstellar dust towards FU Ori-type objects (FUors). These dust grai…

math.AG2023

Simply connectedness and hyperbolicity

Erwan Rousseau, Carlo Gasbarri, Amos Turchet +1

We generalize to arbitrary dimension our previous construction of simply connected weakly-special but not special varieties. We show that they satisfy the function field and comple…

astro-ph.HE2023★ 29 cited

A fast radio burst localized at detection to an edge-on galaxy using very-long-baseline interferometry

Tomas Cassanelli, Calvin Leung, Pranav Sanghavi +48

Fast radio bursts (FRBs) are millisecond-duration, luminous radio transients of extragalactic origin. These events have been used to trace the baryonic structure of the Universe us…

math.AG2023

Higher Genus Quantum $K$ --theory

You-Cheng Chou, Leo Herr, Y. -P. Lee

We prove genus $g$ invariants in quantum $K$ -theory are determined by genus zero invariants of a smooth stack in the spirit of K.~Costello's result in Gromov--Witten theory.

math.AG2023

Quantum K-invariants and Gopakumar-Vafa invariants II. Calabi-Yau threefolds at genus zero

You-Cheng Chou, Y. -P. Lee

This is the second part of our ongoing project on the relations between Gopakumar-Vafa BPS invariants (GV) and quantum K-theory (QK) on the Calabi--Yau threefolds (CY3). We show th…

math.CV2023

$G$ -invariant Bergman kernel and geometric quantization on complex manifolds with boundary

Chin-Yu Hsiao, Rung-Tzung Huang, Xiaoshan Li +1

Let $M$ be a complex manifold with boundary $X$ , which admits a holomorphic Lie group $G$ -action preserving $X$ . We establish a full asymptotic expansion for the $G$ -invariant Berg…

hep-th2023★ 3 cited

Quantum Modular $Z^{G}$ -Invariants

Miranda C. N. Cheng, Ioana Coman, Davide Passaro +1

We study the quantum modular properties of $Z^{G}$ -invariants of closed three-manifolds. Higher depth quantum modular forms are expected to play a central role for general…

math.QA2022★ 4 cited

Unitary forms for holomorphic vertex operator algebras of central charge $24$

Ching Hung Lam

We prove that all holomorphic vertex operator algebras of central charge $24$ with non-trivial weight one subspaces are unitary. The main method is to use the orbifold construction…

math.DG2022

Positively curved Finsler metrics on vector bundles II

Kuang-Ru Wu

We show that if $E$ is an ample vector bundle of rank at least two with some curvature bound on $O_{P (E^{*})} (1)$ , then $E^{*} \otimes det E$ is Kobayashi positive. The proof relies on…

math.CO2022★ 2 cited

On the size of maximal binary codes with 2, 3, and 4 distances

Alexander Barg, Alexey Glazyrin, Wei-Jiun Kao +3

We address the maximum size of binary codes and binary constant weight codes with few distances. Previous works established a number of bounds for these quantities as well as the e…

math.AP2022

The fractional $p$ -Laplacian on hyperbolic spaces

Jongmyeong Kim, Minhyun Kim, Ki-Ahm Lee

We present three equivalent definitions of the fractional $p$ -Laplacian $(- Δ_{H^{n}})_{p}^{s}$ , $0 < s < 1$ , $p > 1$ , with normalizing constants, on hyperbolic spaces. The expli…

math.NT2022★ 1 cited

The derivative formula of $p$ -adic $L$ -functions for imaginary quadratic fields at trivial zeros

Masataka Chida, Ming-Lun Hsieh

The rank one Gross conjecture for Deligne-Ribet $p$ -adic $L$ -functions was solved in works of Darmon-Dasgupta-Pollack and Ventullo by the Eisenstein congruence among Hilbert modula…

Positive mass theorem and the Yamabe equation on CR manifolds

Lecture Notes on Normalizing Flows for Lattice Quantum Field Theories

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

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

A segment of Euler product associated to a certain Dirichlet series

Pairs of commuting integer matrices

Harper's beyond square-root conjecture

Sums of three cubes over a function field

Asymptotically Optimal Proper Conflict-Free Colouring

The giant graviton expansion in AdS5​×S5

The classification of vertex operator algebras of OZ-type generated by Ising vectors of σ-type

The cdh-local motivic homotopy category

Semi-analytic calculations for extended mid-Infrared emission associated with FU Ori-type objects

Simply connectedness and hyperbolicity

A fast radio burst localized at detection to an edge-on galaxy using very-long-baseline interferometry

Higher Genus Quantum K--theory

Quantum K-invariants and Gopakumar-Vafa invariants II. Calabi-Yau threefolds at genus zero

G-invariant Bergman kernel and geometric quantization on complex manifolds with boundary

Quantum Modular ZG-Invariants

Unitary forms for holomorphic vertex operator algebras of central charge 24

Positively curved Finsler metrics on vector bundles II

On the size of maximal binary codes with 2, 3, and 4 distances

The fractional p-Laplacian on hyperbolic spaces

The derivative formula of p-adic L-functions for imaginary quadratic fields at trivial zeros

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

The giant graviton expansion in $A d S_{5} \times S^{5}$

The classification of vertex operator algebras of OZ-type generated by Ising vectors of $σ$ -type

Higher Genus Quantum $K$ --theory

$G$ -invariant Bergman kernel and geometric quantization on complex manifolds with boundary

Quantum Modular $Z^{G}$ -Invariants

Unitary forms for holomorphic vertex operator algebras of central charge $24$

The fractional $p$ -Laplacian on hyperbolic spaces

The derivative formula of $p$ -adic $L$ -functions for imaginary quadratic fields at trivial zeros