NI// Nafiz Ishtiaque

Associate Professor · Fudan University × SIMIS

STATUS / ACTIVE · SHANGHAI

Nafiz Ishtiaque

Associate Professor
Fudan University × SIMIS

I study algebraic, geometric, and categorical structures in quantum systems, with an emphasis on quantum field theory, integrability, and quantum algebras.

My developing directions include topological quantum information and field-theoretic approaches to learning and statistical inference.

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01 / WORK IN MOTION

Latest research

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Recent papers IN PRINT & PREPRINT

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  1. Refined Invariants and Quantum Curves from Supersymmetric Localization

    with Sibasish Banerjee, Saebyeok Jeong

    arXiv 2601.07662Ann. Henri Poincaré

  2. An exact spacetime polymer gas for finite-temperature \(\mathbb Z_N\) homological quantum code

    with Shanto Chakroborty

    arXiv 2605.09122

  3. Universality of Gaussian-Mixture Reverse Kernels in Conditional Diffusion

    with Syed Arefinul Haque, Kazi Ashraful Alam, Fatima Jahara

    arXiv 2604.13470

02 / ACTIVE PROGRAM

Research coordinates

DETAILS →

My research seeks structural descriptions of quantum systems: algebraic objects that organize observables and states, geometric constructions that make those objects computable, and field theories that explain why the structures appear.

R/01

Quantum algebras, integrability & QFT

I study how Yangians, affine Yangians, R-matrices, and related representation-theoretic structures emerge from holomorphic-topological quantum field theories, branes, line operators, and defects.

OPEN PROGRAM → R/02

Topological phases & quantum information

I am developing a field-theoretic approach to topological quantum codes, especially their finite-temperature behavior, dualities, and the statistical-mechanical structures controlling stability.

OPEN PROGRAM → R/03

Field theory, learning & inference

I am interested in mathematical learning theory where probability, statistical mechanics, diffusion, and renormalization provide a common language for approximation and learning dynamics.

OPEN PROGRAM →

03 / FIELD RECORD

Latest images

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view of the supertall skyscrapers of Shanghai financial center from the Bund
Fall 2026 - 16 FRAMES

SHANGHAI

Shanghai and nearby cities, China

Everyday life in and around Shanghai.

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Repeated colored forms on a building façade in the Yvette valley
WINTER–SPRING 202520 FRAMES

* SUR YVETTE

Bures, Gif, Orsay & the Yvette valley, France

Scenes from Bures—home of IHES—and nearby towns along the river Yvette.

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The Eiffel Tower seen across the Paris skyline
SPRING 202510 FRAMES

PARIS

Paris, France

A final quota of Parisian wandering near the end of my time in France.

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A seagull on a rooftop in Llandudno, Wales
APRIL 202515 FRAMES

NORTH WALES / LONDON

North Wales & London, United Kingdom

Touristic observations from Llandudno, Conwy, and London.

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04 / TRAJECTORY

Academic positions

  1. MSc & PhD Perimeter Institute Waterloo, Canada Supervisor: Jaume Gomis
  2. Postdoctoral Member Institute for Advanced Study Princeton, USA
  3. Postdoctoral Researcher IHES Bures-sur-Yvette, France
  4. Associate Professor SIMIS & Fudan University Shanghai, China