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Associate Professor Pinhas Grossman

Associate Professor
Science
School of Mathematics & Statistics

ABOUT ME

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Biography

I joined the School of Mathematics at UNSW in 2013, after temporary positions at Vanderbilt University in the USA, Cardiff University in the UK, and IMPA in Brazil. My research interests are in the area of subfactors, which lies at the nexus of operator algebras, quantum topology, and representation theory.

Education

  • PhD in Mathematics (UC Berkeley, 2006)
  • BA (Yeshiva University, 2000)

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RESEARCH

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Research Grants

  • ARC Discovery Grant 2014 – 2016, Symmetries of Subfactors, held jointly with Scott Morrison (ANU) and Vaughan Jones (Vanderbilt University)
  • National Science Foundation Grant 2008-2011, Subfactors and Planar Algebras

TEACHING & OUTREACH

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Courses I have taught at UNSW

MATH1131: Calculus

MATH1141: Algebra

SCIF1121: Professional Perspective and Practice

MATH2069: Vector Calculus

MATH3611: Higher Analysis

MATH5615: Banach and Operator Algebras

Professional affiliations and service positions

Since 2017 I have been the Honours coordinator for Pure Mathematics.

From 2013-2016 I was the organizer of the School’s Pure Mathematics Seminar.
Phone
9385 4992
E-mail
p.grossman@unsw.edu.au
Location
School of Mathematics and Statistics University of New South Wales SYDNEY NSW 2052 AUSTRALIA The Red Centre Room 6112a
  • Journal articles | 2023
    Grossman P; Izumi M; Snyder N, 2023, 'Graded extensions of generalized Haagerup categories', Pure and Applied Mathematics Quarterly, 19, pp. 2335 - 2408,
    Journal articles | 2023
    Grossman P; Morrison S; Penneys D; Peters E; Snyder N, 2023, 'THE EXTENDED HAAGERUP FUSION CATEGORIES', Annales Scientifiques de l'Ecole Normale Superieure, 56, pp. 589 - 664,
    Journal articles | 2022
    Grossman P; Izumi M, 2022, 'Drinfeld centers of fusion categories arising from generalized Haagerup subfactors', Quantum Topology, 13, pp. 593 - 668,
    Journal articles | 2020
    Grossman P; Izumi M, 2020, 'Infinite Families of Potential Modular Data Related to Quadratic Categories', Communications in Mathematical Physics, 380, pp. 1091 - 1150,
    Journal articles | 2019
    Grossman P, 2019, 'Fusion categories associated with subfactors with index 3 + p5', Indiana University Mathematics Journal, 68, pp. 1277 - 1325,
    Journal articles | 2018
    Grossman P; Izumi M; Snyder N, 2018, 'The Asaeda-Haagerup fusion categories', Journal fur die Reine und Angewandte Mathematik, 2018, pp. 261 - 305,
    Journal articles | 2016
    Grossman P; Snyder N, 2016, 'The brauer-picard group of the asaeda-haagerup fusion categories', Transactions of the American Mathematical Society, 368, pp. 2289 - 2331,
    Journal articles | 2015
    Grossman P; Jordan D; Snyder N, 2015, 'Cyclic extensions of fusion categories via the Brauer–Picard groupoid', Quantum Topology, 6, pp. 313 - 331,
    Journal articles | 2012
    Grossman P; Snyder N, 2012, 'Quantum Subgroups of the Haagerup Fusion Categories', Communications in Mathematical Physics, 311, pp. 617 - 643,
    Journal articles | 2011
    Asaeda M; Grossman P, 2011, 'A quadrilateral in the Asaeda-Haagerup category', QUANTUM TOPOLOGY, 2, pp. 269 - 300,
    Journal articles | 2010
    Grossman P; Wiggins A, 2010, 'Strong singularity for subfactors', Bulletin of the London Mathematical Society, 42, pp. 607 - 620,
    Journal articles | 2008
    Grossman P; Izumi M, 2008, 'Classification of noncommuting quadrilaterals of factors', International Journal of Mathematics, 19, pp. 557 - 643,
    Journal articles | 2007
    Grossman P; Jones VFR, 2007, 'Intermediate subfactors with no extra structure', Journal of the American Mathematical Society, 20, pp. 219 - 265,
    Journal articles | 2007
    Grossman P, 2007, 'Forked Temperley-Lieb algebras and intermediate subfactors', Journal of Functional Analysis, 247, pp. 477 - 491,
  • Preprints | 2022
    Grossman P; Izumi M; Snyder N, 2022, Graded extensions of generalized Haagerup categories, ,
    Preprints | 2018
    Grossman P; Morrison S; Penneys D; Peters E; Snyder N, 2018, The Extended Haagerup fusion categories, ,
    Preprints | 2016
    Grossman P, 2016, Fusion Categories Associated to Subfactors with Index $3+\sqrt{5}$, ,
    Preprints | 2015
    Grossman P; Izumi M; Snyder N, 2015, The Asaeda-Haagerup fusion categories, ,
    Preprints | 2015
    Grossman P; Izumi M, 2015, Drinfeld centers of fusion categories arising from generalized Haagerup subfactors, ,
    Preprints | 2015
    Grossman P, 2015, Existence of the $AH+2$ subfactor, ,
    Preprints | 2012
    Grossman P; Jordan D; Snyder N, 2012, Cyclic extensions of fusion categories via the Brauer-Picard groupoid, ,
    Preprints | 2012
    Grossman P; Snyder N, 2012, The Brauer-Picard group of the Asaeda-Haagerup fusion categories, ,
    Preprints | 2011
    Grossman P; Snyder N, 2011, Quantum subgroups of the Haagerup fusion categories, ,
    Preprints | 2010
    Asaeda M; Grossman P, 2010, A quadrilateral in the Asaeda-Haagerup category, ,
    Preprints | 2007
    Grossman P; Izumi M, 2007, Classification of Noncommuting Quadrilaterals of Factors, ,
    Preprints | 2007
    Grossman P; Wiggins A, 2007, Strong Singularity for Subfactors, ,
    Preprints | 2006
    Grossman P, 2006, Forked Temperley-Lieb Algebras and Intermediate Subfactors, ,
    Preprints | 2004
    Grossman P; Jones VFR, 2004, Intermediate Subfactors with No Extra Structure, ,