Associate Professor Pinhas Grossman

ABOUT ME

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)

RESEARCH

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

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 | 2022

Grossman P; Izumi M, 2022, 'Drinfeld centers of fusion categories arising from generalized Haagerup subfactors', Quantum Topology, vol. 13, pp. 593 - 668, http://dx.doi.org/10.4171/qt/167

Journal articles | 2020

Grossman P; Izumi M, 2020, 'Infinite Families of Potential Modular Data Related to Quadratic Categories', Communications in Mathematical Physics, vol. 380, pp. 1091 - 1150, http://dx.doi.org/10.1007/s00220-020-03710-7

Journal articles | 2019

Grossman P, 2019, 'Fusion categories associated with subfactors with index 3 + ^p5', Indiana University Mathematics Journal, vol. 68, pp. 1277 - 1325, http://dx.doi.org/10.1512/iumj.2019.68.7667

Journal articles | 2018

Grossman P; Izumi M; Snyder N, 2018, 'The Asaeda-Haagerup fusion categories', Journal fur die Reine und Angewandte Mathematik, vol. 2018, pp. 261 - 305, http://dx.doi.org/10.1515/crelle-2015-0078

Journal articles | 2016

Grossman P; Snyder N, 2016, 'The brauer-picard group of the asaeda-haagerup fusion categories', Transactions of the American Mathematical Society, vol. 368, pp. 2289 - 2331, http://dx.doi.org/10.1090/tran/6364

Journal articles | 2015

Grossman P; Jordan D; Snyder N, 2015, 'Cyclic extensions of fusion categories via the Brauer–Picard groupoid', Quantum Topology, vol. 6, pp. 313 - 331, http://dx.doi.org/10.4171/QT/64

Journal articles | 2012

Grossman P; Snyder N, 2012, 'Quantum Subgroups of the Haagerup Fusion Categories', Communications in Mathematical Physics, vol. 311, pp. 617 - 643, http://dx.doi.org/10.1007/s00220-012-1427-x

Journal articles | 2011

Asaeda M; Grossman P, 2011, 'A quadrilateral in the Asaeda-Haagerup category', QUANTUM TOPOLOGY, vol. 2, pp. 269 - 300, http://dx.doi.org/10.4171/QT/22

Journal articles | 2010

Grossman P; Wiggins A, 2010, 'Strong singularity for subfactors', Bulletin of the London Mathematical Society, vol. 42, pp. 607 - 620, http://dx.doi.org/10.1112/blms/bdp137

Journal articles | 2008

Grossman P; Izumi M, 2008, 'Classification of noncommuting quadrilaterals of factors', International Journal of Mathematics, vol. 19, pp. 557 - 643, http://dx.doi.org/10.1142/S0129167X08004807

Journal articles | 2007

Grossman P, 2007, 'Forked Temperley-Lieb algebras and intermediate subfactors', Journal of Functional Analysis, vol. 247, pp. 477 - 491, http://dx.doi.org/10.1016/j.jfa.2007.03.014

Journal articles | 2007

Grossman P; Jones VFR, 2007, 'Intermediate subfactors with no extra structure', Journal of the American Mathematical Society, vol. 20, pp. 219 - 265, http://dx.doi.org/10.1090/S0894-0347-06-00531-5
Preprints | 2022

Grossman P; Izumi M; Snyder N, 2022, Graded extensions of generalized Haagerup categories, http://dx.doi.org/10.48550/arxiv.2201.11901

Preprints | 2018

Grossman P; Morrison S; Penneys D; Peters E; Snyder N, 2018, The Extended Haagerup fusion categories, http://dx.doi.org/10.48550/arxiv.1810.06076

Preprints | 2016

Grossman P, 2016, Fusion Categories Associated to Subfactors with Index $3+\sqrt{5}$, http://dx.doi.org/10.48550/arxiv.1612.07185

Preprints | 2015

Grossman P, 2015, Existence of the $AH+2$ subfactor, http://dx.doi.org/10.48550/arxiv.1512.02493

Preprints | 2015

Grossman P; Izumi M, 2015, Drinfeld centers of fusion categories arising from generalized Haagerup subfactors, http://dx.doi.org/10.48550/arxiv.1501.07679

Preprints | 2015

Grossman P; Izumi M; Snyder N, 2015, The Asaeda-Haagerup fusion categories, http://dx.doi.org/10.48550/arxiv.1501.07324

Preprints | 2012

Grossman P; Jordan D; Snyder N, 2012, Cyclic extensions of fusion categories via the Brauer-Picard groupoid, http://dx.doi.org/10.48550/arxiv.1211.6414

Preprints | 2012

Grossman P; Snyder N, 2012, The Brauer-Picard group of the Asaeda-Haagerup fusion categories, http://dx.doi.org/10.48550/arxiv.1202.4396

Preprints | 2011

Grossman P; Snyder N, 2011, Quantum subgroups of the Haagerup fusion categories, http://dx.doi.org/10.48550/arxiv.1102.2631

Preprints | 2010

Asaeda M; Grossman P, 2010, A quadrilateral in the Asaeda-Haagerup category, http://dx.doi.org/10.48550/arxiv.1006.2524

Preprints | 2007

Grossman P; Izumi M, 2007, Classification of Noncommuting Quadrilaterals of Factors, http://dx.doi.org/10.48550/arxiv.0704.1121

Preprints | 2007

Grossman P; Wiggins A, 2007, Strong Singularity for Subfactors, http://dx.doi.org/10.48550/arxiv.math/0703673

Preprints | 2006

Grossman P, 2006, Forked Temperley-Lieb Algebras and Intermediate Subfactors, http://dx.doi.org/10.48550/arxiv.math/0607335

Preprints | 2004

Grossman P; Jones VFR, 2004, Intermediate Subfactors with No Extra Structure, http://dx.doi.org/10.48550/arxiv.math/0412423

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