Hiraku Nakajima

Research.com Recognitions

• 2003 - Frank Nelson Cole Prize in Algebra

Overview

Best Publications

• Lectures on Hilbert Schemes of Points on Surfaces

  Hiraku Nakajima

  1081
  Citations

• Instantons on ALE spaces, quiver varieties, and Kac-Moody algebras

  Hiraku Nakajima

  961
  Citations

• Quiver varieties and Kac-Moody algebras

  Hiraku Nakajima

  464
  Citations

• Instanton counting on blowup. I. 4-dimensional pure gauge theory

  Hiraku Nakajima;Kota Yoshioka

  450
  Citations

• Quiver varieties and finite dimensional representations of quantum affine algebras

  Hiraku Nakajima

  447
  Citations

• On a construction of coordinates at infinity on manifolds with fast curvature decay and maximal volume growth

  Shigetoshi Bando;Atsushi Kasue;Hiraku Nakajima

  383
  Citations

• Towards a mathematical definition of Coulomb branches of $3$-dimensional $\mathcal{N}=4$ gauge theories, I

  Hiraku Nakajima

  382
  Citations

• Yang-Mills instantons on ALE gravitational instantons.

  Peter B. Kronheimer;Hiraku Nakajima

  375
  Citations

• Heisenberg algebra and Hilbert schemes of points on projective surfaces

  Hiraku Nakajima

  365
  Citations

• Lectures on instanton counting

  Hiraku Nakajima;Kota Yoshioka

  295
  Citations

• t-ANALOGS OF q-CHARACTERS OF KIRILLOV-RESHETIKHIN MODULES OF QUANTM AFFINE ALGEBRAS

  Hiraku Nakajima

  275
  Citations

• Towards a mathematical definition of Coulomb branches of $3$-dimensional $\mathcal N=4$ gauge theories, II

  Alexander Braverman;Michael Finkelberg;Hiraku Nakajima

  210
  Citations

• Quiver varieties and cluster algebras

  Hiraku Nakajima

  184
  Citations

• INSTANTON COUNTING ON BLOWUP. II. K-THEORETIC PARTITION FUNCTION

  Hiraku Nakajima;Kota Yoshioka

  166
  Citations

• K-theoretic Donaldson invariants via instanton counting

  Lothar Gottsche;Hiraku Nakajima;Kota Yoshioka

  166
  Citations

• Quiver varieties and $t$-analogs of $q$-characters of quantum affine algebras

  Hiraku Nakajima

  163
  Citations

• McKay correspondence and Hilbert schemes in dimension three

  Yukari Ito;Hiraku Nakajima

  153
  Citations

• Coulomb branches of $3d$ $\mathcal{N}=4$ quiver gauge theories and slices in the affine Grassmannian

  Alexander Braverman;Michael Finkelberg;Hiraku Nakajima

  147
  Citations

• Crystal bases and two-sided cells of quantum affine algebras

  Jonathan Beck;Hiraku Nakajima

  146
  Citations

• Instanton counting on blowup, I

  Hiraku Nakajima;Kota Yoshioka

  139
  Citations