About Me

Abstract: From August 18 to August 22, Rutgers University ran a summer school on symplectic geometry that aimed to provide graduate students and advanced undergraduate students tutorials in various advanced topics in symplectic geometry and introductions to recent developments. This year we focus on, but are not restricted to, theories and applications of Lagrangian Floer theories, including Fukaya categories, Floer theory in low-dimensional topology, contact geometry, and Hamiltonian dynamics etc.

Last update: August 24, 2025

Abstract: Quantum Field Theory (QFT) and Quantum Statistical Mechanics are central to high energy physics and condensed matter physics; they also raise deep questions in mathematics. The application of operator algebras to these areas of physics is well-known. Recent developments indicate that to understand some aspects QFT properly a further ingredient is needed: homotopy theory and infinity-categories. One such development is the recognition that symmetry in a QFT is better described by a homotopy type rather than a group (so-called generalized symmetries). Another one is the work of Lurie and others on extended Topological Field Theory (TFT) and the Baez-Dolan cobordism hypothesis. Finally, there is a conjecture of Kitaev that invertible phases of matter are classified by homotopy groups of an Omega-spectrum.

This workshop will bring together researchers and students approaching this physics using different mathematical techniques: operator algebras, homotopy theory, higher category theory, etc. The goal is to catalyze new interactions between different communities. At the workshop recent developments will be reviewed and hopefully progress can be made on two outstanding problems: the Kitaev conjecture as well as the long-standing goal of finding a proper mathematical formulation for QFT.

Last update: July 27, 2025

Abstract: From June 2nd to June 6th, The Center of Mathematics at Notre Dame ran a Thematic Program in Discrete Groups in Topology and Algebraic Geometry. I participated in the undergraduate week, which explored the theme of discrete groups in topology and algebraic geometry through the lens of elliptic curves, their moduli, and connections with basic principles of geometric group theory.

Last update: June 15, 2025

Abstract: From June 24th to July 5th, the Beijing Institute of Mathematical Sciences and Applications ran a workshop on mathematics and mathematical physics.

From the website:

This series of summer workshops is organized by the Beijing Institute of Mathematical Sciences and Applications (BIMSA). It aims at introducing young researchers to some of the active research areas in Mathematics and Mathematical Physics via a series of short lecture courses taught by some of the world's best mathematicians, combined with research talks given by world-renowned experts in the field. The theme for the inaugural workshop in Summer 2024 is Integrable Systems and Algebraic Geometry.

Last update: July 6, 2024

Abstract: From August 19 to August 23, Rutgers University ran a summer school on symplectic geometry that aimed to provide graduate students and advanced undergraduate students tutorials in various advanced topics in symplectic geometry and introductions to recent developments. This year was focused on, but was not restricted to, the foundational aspects, including the theory of global Kuranishi charts, integer-valued curve-counting invariants, Hamiltonian dynamics, and contact topology.

Last update: August 26, 2024

Abstract: ACNS is an annual conference focusing on current developments that advance the areas of applied cryptography, cyber security (including network and computer security) and privacy. The goal is to represent both academic research works as well as developments in industrial and technical frontiers. Submissions may focus on the modelling, design, analysis (including security proofs and attacks), development (e.g. implementations), deployment (e.g. system integration), and maintenance (e.g. performance measurements, usability studies) of algorithms, protocols, standards, implementations, technologies devices, systems standing in relation with applied cryptography, cyber security and privacy, while advancing or bringing new insights to the state of the art.

From June 19th to June 22nd, the 21st ACNS was held in Kyoto, Japan.

Last update: July 6, 2023