Associate Professor

# Associate Professor Pinhas Grossman

Science
School of Mathematics & Statistics

### 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
Location
School of Mathematics and Statistics University of New South Wales SYDNEY NSW 2052 AUSTRALIA The Red Centre Room 6112a
• 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
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 | 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 | 2007
Grossman P; Wiggins A, 2007, Strong Singularity for Subfactors
Preprints | 2004
Grossman P; Jones VFR, 2004, Intermediate Subfactors with No Extra Structure