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David Penneys
Associate Professor of Mathematics at The Ohio State University
Office: Room 752 Math Tower
Office hours: to be decided
Email: penneys (dot) 2 (at) osu (dot) edu
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About me:
I received my Ph.D. from the University of California, Berkeley in 2012 under the supervision of Vaughan Jones.
I completed a 2 year postdoc from 2012-2014 at the University of Toronto under the supervision of Dror Bar-Natan and George Elliott.
From 2014-2016, I was an Assistant Adjunct Professor at UCLA.
I study subfactor theory, a subject in operator algebras with connections to a wide variety of mathematics, including tensor and fusion categories, quantum algebra, mathematical physics, and non-commutative geometry.
Here is a copy of my Curriculum Vitae.
Here is a link to my articles on the arXiv.
Here is a link to my Google Scholar profile.
Graduate students and postdocs
Current graduate students and their dissertation work
-
David GREEN
-
Tannaka-Krein reconstruction for fusion 2-categories.
[arXiv:2309.05591]
-
A lattice model for condensation in Levin-Wen systems (with Jessica Christian, Peter Huston, and David Penneys).
[arXiv:2303.04711]
-
Enriched string-net models and their excitations (with Peter Huston, Kyle Kawagoe, David Penneys, Anup Poudel, and Sean Sanford).
[arXiv:2305.14068]
-
REU project:
Classification of Rank 6 Modular Categories with Galois Group <(012)(345)>.
[arXiv:1908.07128]
-
Giovanni FERRER
-
Gray-categories model algebraic tricategories.
Theory Appl. Categ. 38 (2022), Paper No. 29, 1136--1155.
[arXiv:2203.03748]
-
OSU REU project:
Classifying module categories for generalized Temperley-Lieb-Jones $*$-2-categories.
(with Hernandez Palomares)
Internat. J. Math. 31 (2020), no. 4, 2050027, 30 pp.
MR4098904
[DOI:10.1142/S0129167X20500275,
arXiv:1905.00471]
-
Daniel WALLICK
-
Brett HUNGAR
-
Anupama BHARDWAJ
-
Chumeng DI
Current postdocs
Former PhD students
Former postdocs
-
Corey JONES, now tenure track assistant professor at North Carolina State University
Mathematics Teaching
Mathematics Research
Peer reviewed journal articles
-
David Green, Peter Huston, Kyle Kawagoe, David Penneys, Anup Poudel, and Sean Sanford.
Enriched string-net models and their excitations.
2023.
To appear Quantum
[arXiv:2305.14068]
-
André Henriques, David Penneys, and James Tener.
Unitary anchored planar algebras.
2023.
To appear Comm. Math. Phys.
[arXiv:2301.11114]
-
Cain Edie-Michell, Masaki Izumi, and David Penneys
Classification of Z/2Z-quadratic unitary fusion categories.
2021.
To appear Quantum Topol.
[arXiv:2108.01564,
DOI:10.4171/QT/201]
-
Quan Chen, Corey Jones, and David Penneys.
A categorical Connes' \chi(M).
2021.
To appear Math. Ann.
[arXiv:2111.06378,
DOI:10.1007/s00208-023-02695-7]
-
Jessica Christian, David Green, Peter Huston, and David Penneys.
A lattice model for condensation in Levin-Wen systems.
J. High Energy Phys.
(2023), no.9, Paper No. 55, 55 pp.
[arXiv:2303.04711
DOI:10.1007/JHEP09(2023)055]
-
Peter Huston, Fiona Burnell, Corey Jones, and David Penneys.
Composing topological domain walls and anyon mobility.
SciPost Phys.
15, 076 (2023).
[arXiv:2208.14018,
DOI:10.21468/SciPostPhys.15.3.076]
-
Pinhas Grossman, Scott Morrison, David Penneys, Emily Peters, and Noah Snyder.
The Extended Haagerup fusion categories.
Ann. Sci. Éc. Norm. Supér.
(4) 56 (2023), no. 2, 589–664.
[arXiv:1810.06076,
DOI:10.24033/asens.2541]
-
André Henriques and David Penneys.
Representations of fusion categories and their commutants.
Selecta Math. (NS)
29 (2023), no. 3, Paper No. 38.
[arXiv:2004.08271,
DOI:10.1007/s00029-023-00841-2]
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Narjess Afzaly, Scott Morrison, and David Penneys.
The Classification of Subfactors with Index at Most 5+1/4.
Mem. Amer. Math. Soc.
284 (2023), no. 1405, ISBN: 978-1-4704-4712-0
[arXiv:1509.00038,
DOI:10.1090/memo/1405]
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Corey Jones, David Penneys, and David Reutter.
A 3-categorical perspective on G-crossed braided categories.
J. Lond. Math. Soc.
(2) 107 (2023), no. 1, 333–406.
[arXiv:2009.00405,
DOI:10.1112/jlms.12687]
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André Henriques, David Penneys, and James Tener.
Planar Algebras in Braided Tensor Categories.
Mem. Amer. Math. Soc.
282 (2023), no. 1392, ISBN: 978-1-4704-5540-8
[arXiv:1607.06041,
DOI:10.1090/memo/1392]
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Konrad Aguilar, Michael Hartglass, and David Penneys.
Compact quantum metric spaces from free graph algebras.
Internat. J. Math.
33 (2022), no. 10-11, 2250073, 23 pp.
[arXiv:2109.06985,
DOI:10.1142/S0129167X22500732]
-
Corey Jones, Scott Morrison, David Penneys, and Julia Plavnik.
Extension theory for braided-enriched fusion categories.
Int. Math. Res. Not. IMRN
2022, no. 20, 15632--15683
[arXiv:1910.03178,
DOI:10.1093/imrn/rnab133]
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Quan Chen, Roberto Hernández Palomares, Corey Jones, and David Penneys.
Q-system completion for C* 2-categories.
J. Funct. Anal.
283 (2022), no. 3, Paper No. 109524
[arXiv:2105.12010,
DOI:10.1016/j.jfa.2022.109524]
-
Quan Chen and David Penneys.
Q-system completion is a 3-functor.
Theor. Appl. Categ.
Vol. 38, 2022, No. 4, 101-134
[arXiv:2106.12437,
published article available here]
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Desmond Coles, Peter Huston, David Penneys, and Srivatsa Srinivas.
The module embedding theorem via towers of algebras.
J. Funct. Anal.
280 (2021), no. 11., Paper No. 108965
[arXiv:1810.07049,
DOI:10.1016/j.jfa.2021.108965]
-
David Penneys.
Unitary dual functors for unitary multitensor categories.
Higher Structures
4(2):22-56, 2020.
[arXiv:1808.00323,
DOI:10.21136/HS.2020.09,
more details for Lemma 3.26]
-
Scott Morrison and David Penneys.
Monoidal categories enriched in braided monoidal categories.
Int. Math. Res. Not.
2019, no. 11, 3527--3579
[arXiv:1701.00567,
DOI:10.1093/imrn/rnx217]
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Corey Jones and David Penneys.
Realizations of algebra objects and discrete subfactors.
Adv. Math.
350 (2019), p 588-661
[arXiv:1704.02035,
DOI:10.1016/j.aim.2019.04.039]
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Marcel Bischoff, Corey Jones, Yuan-Ming Lu, and David Penneys.
Spontaneous symmetry breaking from anyon condensation.
J. High Energ. Phys.
(2019) 2019: 62.
[arXiv:1811.00434,
DOI:10.1007/JHEP02(2019)062]
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Corey Jones and David Penneys.
Operator algebras in rigid C*-tensor categories.
Comm. Math. Phys.
355 (2017), no. 3, 1121--1188.
[arXiv:1611.04620,
DOI:10.1007/s00220-017-2964-0]
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André Henriques and David Penneys.
Bicommutant categories from fusion categories.
Selecta Math. (NS)
23 (2017), no. 3, 1669--1708.
[arXiv:1511.05226,
DOI:10.1007/s00029-016-0251-0]
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Michael Hartglass and David Penneys.
C*-algebras from planar algebras I: canonical C*-algebras associated to a planar algebra.
Trans. Amer. Math. Soc.
369 (2017), no. 6, 3977--4019.
[arXiv:1401.2485,
DOI:10.1090/tran/6781]
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André Henriques, David Penneys, and James Tener.
Categorified trace for module tensor categories over braided tensor categories.
Documenta Math.
21 (2016) 1089--1149
[arXiv:1509.02937, published article available here]
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Masaki Izumi, Scott Morrison, and David Penneys.
Quotients of A_2*T_2.
Canad. J. Math.
68 (2016), no. 5, 999--1022.
[DOI:10.4153/CJM-2015-017-4]
(This is an abridged version of the arXiv preprint Fusion categories between C \boxtimes D and C * D. [arXiv:1308.5723])
-
David Penneys and Emily Peters.
Calculating two-strand jellyfish relations.
Pacific J. Math.
277 (2015), no. 2, 463-510.
[arXiv:1308.5197,
DOI:10.2140/pjm.2015.277-2]
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Scott Morrison and David Penneys.
2-supertransitive subfactors at index 3+\sqrt{5}
J. Funct. Anal.
269 (2015), no. 9, 2845-2870.
[arXiv:1406.3401,
DOI:10.1016/j.jfa.2015.06.023]
-
Vaughan F. R. Jones and David Penneys.
Infinite index subfactors and the GICAR categories.
Comm. Math. Phys.
339 (2015), no. 2, 729-768.
[arXiv:1410.0856,
DOI:10.1007/s00220-015-2407-8,
corrected proof of Lemma 5.2]
-
Masaki Izumi, Scott Morrison, David Penneys, Emily Peters, and Noah Snyder.
Subfactors of index exactly 5.
B. Lond. Math. Soc.
(2015) 47 (2): 257-269.
[arXiv:1406.2389,
DOI:10.1112/blms/bdu113]
-
Scott Morrison and David Penneys.
Constructing spoke subfactors using the jellyfish algorithm.
Trans. Amer. Math. Soc.
367 (2015), no. 5, 3257-3298.
[arXiv:1208.3637,
DOI:10.1090/S0002-9947-2014-06109-6]
-
David Penneys.
Chirality and principal graph obstructions.
Adv. Math.
273(19):32-55, 2015.
[arXiv:1307.5890,
DOI:10.1016/j.aim.2014.11.021]
-
Zhengwei Liu, Scott Morrison, and David Penneys.
1-supertransitive subfactors with index at most 6+1/5.
Comm. Math. Phys.
334 (2015), no. 2, 889-922.
[arXiv:1310.8566,
DOI:10.1007/s00220-014-2160-4]
-
Michael Hartglass and David Penneys.
C*-algebras from planar algebras II: the Guionnet-Jones-Shlyakhtenko C*-algebras.
J. Funct. Anal. 267 (2014), no. 10, 3859--3893.
[arXiv:1401.2486,
DOI:10.1016/j.jfa.2014.08.024]
-
Stephen Bigelow and David Penneys.
Principal graph stability and the jellyfish algorithm.
Math. Ann.
358 (2014), no. 1-2, 1-24.
[arXiv:1208.1564,
DOI:10.1007/s00208-013-0941-2]
-
David Penneys.
A planar calculus for infinite index subfactors.
Comm. Math. Phys.
319 (2013), no. 3, 595-648.
[arXiv:1110.3504,
DOI:10.1007/s00220-012-1627-4]
-
Arnaud Brothier, Michael Hartglass, and David Penneys.
Rigid C*-tensor categories of bimodules over interpolated free group factors.
J. Math. Phys. 53 (2012), no. 12, 123525 (43 pages),
[arXiv:1208.5505,
DOI:10.1063/1.4769178]
-
David Penneys and James Tener.
Subfactors of index less than 5, part 4: vines.
Internat. J. Math.
23 (2012), no. 3, 1250017 (18 pages)
[arXiv:1010.3797,
DOI:10.1142/S0129167X11007641]
-
Scott Morrison, David Penneys, Emily Peters, and Noah Snyder.
Subfactors of index less than 5, part 2: triple points.
Internat. J. Math. 23 (2012), no. 3, 1250016 (33 pages)
[arXiv:1007.2240, DOI:10.1142/S0129167X11007586]
-
David Penneys, A cyclic approach to the annular Temperley-Lieb category.
J. Knot Theory and its Ramifications
21 (2012), no. 6, 1250049 (40 pages)
[arXiv:0912.1320,
DOI:10.1142/S0218216511010012]
-
Vaughan F. R. Jones and David Penneys.
The embedding theorem for finite depth subfactor planar algebras.
Quantum Topol.
2 (2011), 301-337
[arXiv:1007.3173,
DOI:10.4171/QT/23]
Peer reviewed conference proceedings
-
Corey Jones and David Penneys.
Q-systems and compact W*-algebra objects.
Topological phases of matter and quantum computation,
63--88,
Contemp. Math.,
747, Amer. Math. Soc., Providence, RI, 2020.
[arXiv:1707.02155,
DOI:10.1090/conm/747/15039]
-
Zhengwei Liu, Scott Morrison, and David Penneys.
Lifting shadings on symmetrically self-dual subfactor planar algebras.
Topological phases of matter and quantum computation,
51--61,
Contemp. Math.,
747, Amer. Math. Soc., Providence, RI, 2020.
[arXiv:1709.05023,
DOI:10.1090/conm/747/15038]
-
Zhengwei Liu and David Penneys.
The generator conjecture for $3^G$ subfactor planar algebras.
Proceedings of the 2014 Maui and 2015 Qinhuangdao conferences in honour of Vaughan F. R. Jones' 60th birthday,
344--366,
Proc. Centre Math. Appl. Austral. Nat. Univ.,
46,
Austral. Nat. Univ., Canberra, 2017.
[arXiv:1507.04794, available online here]
Additional conference proceedings
-
David Penneys (joint work with Marcel Bischoff, Ian Charlesworth, Samuel Evington, Luca Giorgetti, and André Henriques).
Modular distortion for II_1 multifactor bimodules.
2020.
To appear Oberwolfach Reports.
[PDF]
-
David Penneys (joint work with André Henriques and James Tener).
Planar algebras in modular tensor categories.
2015.
Oberwolfach Reports.
[DOI:10.4171/OWR/2015/16, PDF]
arXiv preprints
-
Scott Morrison, David Penneys, and Julia Plavnik.
Completion for braided enriched monoidal categories.
2018.
[arXiv:1809.09782]
-
Marcel Bischoff, Ian Charlesworth, Samuel Evington, Luca Giorgetti, and David Penneys.
Distortion for multifactor bimodules and representations of multifusion categories.
2020.
[arXiv:2010.01067]
-
Zachary Dell, Peter Huston, and David Penneys.
Unitary braided-enriched monoidal categories.
2022
[arXiv:2208.14992]
-
Corey Jones, Pieter Naaijkens, David Penneys, and Daniel Wallick.
Local topological order and boundary algebras.
2023.
[arXiv:2307.12552]
-
André Henriques, David Penneys, and James Tener.
Classification of finite depth objects in bicommutant categories via anchored planar algebras.
2023.
[arXiv:2307.13822]
-
Mario Tomba, Shuqi Wei, Brett Hungar, Daniel Wallick, Kyle Kawagoe, Chian Yeong Chuah, and David Penneys
Boundary algebras of the Kitaev Quantum Double model.
2023.
[arXiv:2309.13440]
-
Kyle Kawagoe, Corey Jones, Sean Sanford, David Green, and David Penneys.
Levin-Wen is a gauge theory: entanglement from topology.
2024.
[arXiv:2401.13838]
-
Giovanni Ferrer, Brett Hungar, Theo Johnson-Freyd, Cameron Krulewski, Lukas Muller, Nivedita, David Penneys, David Reutter, Claudia Scheimbauer, Luuk Stehouwer, and Chetan Vuppulury.
Dagger n-categories.
2024.
[arXiv:2403.01651]
Dissertation
- David Penneys. Planar structure for inclusions of finite von Neumann algebras. 2012. [pdf]
Conference and seminar talks
2023
-
UCSD Functional Analysis Seminar 10/17.
An operator algebraic axiomatization of local topological order.
-
ICMS workshop on
Topological Quantum Computation
10/9-13.
Local topological order and boundary algebras.
[video]
-
Purdue Operator Algebras Seminar 9/12.
An operator algebraic axiomatization of local topological order.
-
Yasu Festa 60
7/24-28.
Local topological order and boundary algebras.
[video]
- Purdue University 6/17.
GOALS culminating workshop
What is topological order?
- Zoom workshop Dagger higher categories 6/12.
Some subtleties about unitary multitensor categories
- UM Dearborn 5/25.
REU speaker.
What is topological order?
-
Vanderbilt
NCGOA
on von Neumann algebras
5/8-11.
Local topological order and boundary algebras.
[Unable to attend; talk given by Daniel Wallick]
2022
2021
-
Cardiff Virtual GAPT Seminar 12/2.
Fusion categories in mathematics and physics
-
George Washington University 11/12.
Colloquium.
Fusion categories and quantum symmetry
-
AMS Fall Western Sectional Meeting 10/23-4.
Special Session on tensor categories and applications.
Classification of Z/2Z-quadratic unitary fusion categories
-
Michigan State University 10/8.
Colloquium.
Fusion categories in mathematics and physics
-
Indiana University 10/1.
Colloquium.
Fusion categories and some applications in mathematics and physics
-
BIRS/IASM workshop 9/20-24 on
Subfactors, Vertex Operator Algebras, and Tensor Categories.
A categorical Connes' $\chi(M)$
[notes]
-
Great Plains Operator Theory Symposium,
5/10.
C*-algebras, right correspondences, and Q-systems, part I: What is a Q-system?
[Beamer slides]
-
Vanderbilt Subfactor Seminar,
4/30.
Classifying small index subfactors
-
UCLA Functional Analysis Seminar, 4/14.
The classification of standard invariants of index at most 5.25
[Beamer slides]
-
Brazos Analysis Seminar,
3/21.
Q-system completion for C* 2-categories
[Beamer slides]
-
Quantum Groups Seminar,
1/11.
Discrete subfactors, realization of algebra objects, and Q-system completion
[Beamer slides]
-
AMS JMM Special Session on
Advances in Operator Algebras,
1/7.
Distortion for multifactor bimodules and representations of multifusion categories.
[Beamer slides]
2020
2019
-
Oberwolfach workshop on Subfactors and their applications 10/28-11/1
Modular distortion for II_1 multifactor bimodules
-
University of Virginia 9/10.
Distortion for II_1 multifactor bimodules
-
Vanderbilt NCGOA 5/3-9.
G-graded extensions of braided enriched fusion categories
-
AMS Joint Meetings 1/16.
Special Session on Hopf algebras and tensor categories.
The module embedding theorem.
[Beamer slides]
2018
-
UCLA 11/15. Functional analysis seminar. The maximal atlas of the Extended Haagerup subfactor
-
GPOTS,
Miami University (Ohio) 5/29-6/2.
Plenary speaker.
The maximal atlas of the extended Haagerup subfactor planar algebra
-
University of Delaware 3/23. Analysis Seminar.
Classifying small quantum symmetries
-
Santa Clara University 3/13. Colloquium.
Planar algebras and evaluation algorithms
-
UC Berkeley 3/12. Probabilistic Operator Algebras Seminar.
Standard invariants for discrete subfactors
-
Texas A&M 1/30. Linear Analysis Seminar.
Standard invariants for discrete subfactors
-
Texas A&M 1/30. Algebra Seminar.
Exotic fusion categories: EH3 exists!
2017
-
George Washington University 11/13.
Topology Seminar.
Monoidal categories enriched in braided monoidal categories
-
UM Dearborn 4/29.
Analysis Day.
Realizations of algebra objects and discrete subfactors
-
STEAM Factory, OSU 4/20.
April STEAM Exchange - Weeds.
[Beamer slides (with pauses)]
-
Purdue University 4/13.
Operator algebras seminar.
Realizations of algebra objects and discrete subfactors
-
AMS Sectional Meeting 4/1-2.
Special Session on
Fusion categories and applications.
Commutants of multifusion categories
[Beamer slides]
-
Ohio University 3/30.
Colloquium.
Classifying small quantum symmetries
-
Australian National University 3/24.
Quantum mathematics meeting.
Enriched operator algebras
-
Australian National University 3/21.
Algebra and topology seminar.
Operator algebras in rigid C*-tensor categories
-
Vanderbilt University 2/24.
Subfactor seminar.
Operator algebras in rigid C*-tensor categories
-
Isaac Newton Institute, Cambridge, England 1/23-27.
Structure of Operator Algebras: Subfactors and Fusion Categories.
Operator algebras in rigid C*-tensor categories, part II
-
Isaac Newton Institute, Cambridge, England 1/11, 12, 13, 16.
Operator Algebras: Subfactors and their Applications.
Mini-course on Introduction to subfactor theory.
[course notes (incomplete first draft, posted 2017/2/17)]
-
AMS Joint Meetings 1/6-9.
Special Session on Fusion Categories and Quantum Symmetries.
Tensor categories enriched in braided tensor categories
[Beamer slides]
2016
2015
-
University of Virginia 12/7.
Colloquium.
Classifying quantum symmetries
-
UC Santa Barbara 11/10.
Topology seminar.
Planar algebras in modular tensor categories
-
North Carolina State University 10/21.
Geometry and topology seminar.
Planar algebras in modular tensor categories
-
North Carolina State University 10/19.
Algebra and combinatorics seminar.
Classifying small quantum symmetries
-
Stanford University 7/28.
Planar algebras
-
International Conference on subfactor theory in mathematics and physics, - in honor of Vaughan Jones' 60th Birthday, Qinhuangdao, China, 6/29-7/3.
Subfactors: past, present, and future
[Beamer slides]
- University of Kyoto 7/7.
Operator algebra seminar.
Bicommutant categories
-
International Conference on C*-algebras and Dynamical Systems, - in honor of George Elliott's 70th Birthday, Shijiazhuang, China, 6/29-7/3.
C*-algebras from planar algebras
[Beamer slides]
-
GPOTS, Purdue University 5/26-30.
Half hour plenary speaker.
The 2D2 subfactor.
[Beamer slides]
-
USC
Hopf algebras and tensor categories mini-meeting 5/21-22.
Planar algebras in modular tensor categories
-
Bodega Bay Subfactor Microconference 5/16-17.
Self duality.
-
UC Berkeley 5/8-11.
Extended Probabilistic Operator Algebra Seminar.
Classifying small index subfactors
[Beamer slides]
-
Oberwolfach meeting on Subfactors and Conformal Field Theory 3/28.
Planar algebras in modular tensor categories
-
Caltech Noncommutative geometry seminar 3/4.
Subfactors and NCG
-
AMS Joint Meetings, Special Session on Quantum Information and Fusion Categories (a Mathematical Research Communities session), San Antonio 1/11.
Classifying small index subfactors
[Beamer slides]
2014
- UC San Diego 12/4. The 2D2 subfactor
- UC Davis Mathematical Physics & Probability seminar 10/29. Applications of subfactors and fusion categories to mathematical physics [Beamer slides]
- USC Hopf working seminar 10/14. Planar algebras, Hopf algebras, and fusion categories
- UCLA Workshop on von Neumann algebras and ergodic theory 9/22-26. Classifying small index subfactors, [Beamer slides]
- Stanford University 8/22. Planar algebras and evaluation algorithms
- AMS MRC on Mathematics of Quantum Phases of Matter and Quantum Information 6/24-30. Ostrik's classification of rank 3 pivotal fusion categories
- GPOTS, Kansas State University 5/27-31. Half hour plenary speaker. Classifying small index subfactors [Beamer slides]
- Vanderbilt NCGOA 5/2-8.
Mini course on Introduction to subfactors.
[course notes (first draft), written notes used during lecture, notes on other talks]
-
Vanderbilt 4/25.
Classifying small index subfactors
[notes]
- Duke University 4/8. Planar algebras and evaluation algorithms
- NC State University 4/7. Planar algebras and evaluation algorithms
- University of New South Wales 3/17. 1-supertransitive subfactors with index at most 6.2
- The Australian National University 3/11. 1-supertransitive subfactors with index at most 6.2 [notes]
- UC Riverside 2/27 (Colloquium). Classifying small index subfactors [Beamer slides]
- UC Davis 1/6. Exotic fusion categories
2013
- UC Berkeley 11/8. Free graph algebras and GJS C*-algebras
- UC San Diego 11/7. 1-supertransitive subfactors with index at most 6.2
- Subfactors in Maui 7/15. Chirality and principal graph obstructions
- Canadian Annual Symposium on Operator Algebras and Their Applications (COSy) 5/27. Subfactors of index 3+\sqrt{5} [Beamer slides]
- Institut de Mathematiques de Bourgogne - workshop on fusion categories 5/21-3. Fusion categories between C \boxtimes D and C * D (with applications to subfactors at index 3+\sqrt{5}) [Beamer slides]
- Northwestern University 4/24. Subfactors of index 3+\sqrt{5}
- Loyola University 4/17. Planar algebras
- University of Waterloo 4/5. GJS C*-algebras
- University of Tokyo 3/12. Constructing subfactors with jellyfish
- The Australian National University 2/5. Planar algebra
2012
- Western University 12/10. Constructing subfactors with jellyfish
- Univrtsity of Michigan, Dearborn colloquium 12/7. Planar algebra
- UC San Diego 11/13. Constructing subfactors with jellyfish
- UC Santa Barbara 11/13. Constructing subfactors with jellyfish
- ECOAS 10/7. Constructing subfactors with the jellyfish algorithm [Beamer slides]
- Subfactors in Maui 7/16. Spokes, jellyfish, trains, and tails
- UCLA 6/6. Jellyfish, trains, and principal graph stability
- UC Santa Barbara 1/31. Automated jellyfish
2011
- Purude ECOAS 10/15. Infinite index subfactors and the GICAR algebras [Beamer slides]
- Subfactors in Maui 7/18. Infinite index
- AMS Joint Meetings, New Orleans 1/8. Eliminating weeds and vines in the classification of subfactors to index 5 [Beamer slides]
2010
- University of Tokyo operator algebras seminar 7/8. Killing weeds with annular multiplicities *10
- Kyushu University operator algebras seminar 7/26. Killing weeds with annular multiplicities *10
- Vanderbilt NCGOA 5/11. The embedding theorem for finite depth subfactor planar algebras [Beamer slides]
2009
- IMSC colloquium 2/26. Categories and pictures
- GWU topology seminar 1/12. Examples of planar algebras
2008
- GWU analysis seminar 3/25. Planar algebras and knot polynomials
Here is a pdf file of all abstracts of conference and seminar talks I have given from 2007-present.
Conferences and seminars organized
International and national conferences
- Terry Gannon, Theo Johnson-Freyd, Julia Plavnik, and I are organizing the BIRS workshop
Subfactors and Fusion (2-)Categories, December 4-8, 2023.
- Kristin Courtney, Andre Henriques, Emily Peters, Aaron Tikuisis, Stuart White, and I
are organizing a twinned workshop on Actions of Tensor Categories on C*-algebras November 6-10, 2023 at
ICMS
and the
Fields Institute
- Theo Johnson-Freyd and I are organizing an online Zoom workshop on Dagger higher categories June 12-15, 2023.
- Ovidiu Costin, Rodica Costin, Jan Lang, and I hosted the Great Plains Operator Theory Symposium May 15-19, 2023 at OSU.
- Jacob Bridgeman, Tobias Osbourne, Julia Plavnik, and I are organizing the AIM workshop Higher Categories and Topological Order, September 26-30, 2022.
- Jacob Bridgeman, Tobias Osbourne, Julia Plavnik, and I organized the AIM workshop Fusion Categories and Tensor Networks, March 8-12, 2021.
- Emily Peters, Aaron Tikuisis, Stuart White, and I are organizing a workshop at IPAM on Actions of tensor categories on C*-algebras, January 25-29, 2021.
-
Ezekiel Johnston-Halperin, Roland Kawakami, Ronald Reano and I are organizing a Quantum Information Science and Technology session at OSU's Materials Week 2020
- Corey Jones, Henri Moscovici, and I will host the Seventeenth East Coast Operator Algebra Symposium October 12-13, 2019 at The Ohio State University.
- Corey Jones and I are organizing the Summer Research Program on Quantum Symmetries June 3-14, 2019 at The Ohio State University.
- Maria Angelica Cueto, Krystal Taylor, Dan Thompson, and I are organizing a Graduate Advising Workshop at The Ohio State University June 1-2, 2019.
[Dan Thompson's article in the AMS Notices]
- Contact organizer for a workshop on Fusion Categories and Subfactors at BIRS 2018/10/14-19 (organized with Gannon, Morrison, and Plavnik)
- Lead for an
American Mathematical Society Mathematics Research Communities
workshop on Quantum symmetries: subfactors and fusion categories, June 10-16, 2018
(organized with Julia Plavnik and Noah Snyder with assistants Paul Bruillard and Corey Jones)
- Contact organizer for a Special Session on Quantum Symmetries at the AMS Central Spring Sectional Meeting at The Ohio State University, March 17-18, 2018
(organized with Julia Plavnik)
- Contact organizer for
Quantum Symmetries: Subfactors and Planar Algebras
July 17-21, 2017, Maui, Hawaii
(organized with Dietmar Bisch, Arnaud Brothier, Vaughan Jones, Scott Morrison, Noah Snyder, James Tener and Rufus Willet)
- Contact organizer for a Special Session on
von Neumann algebras and their applications
at the 2017 Mathematical Congress of the Americas (organized with Dietmar Bisch, Román Sasyk, and Thomas Sinclair)
- Organizer for an AMS Special Session on Advances in operator algebras at the Joint Meetings in Atlanta 2017/1/4-7 (organized with Michael Hartglass and Elizabeth Gillaspy)
- Contact organizer for an AIM SQuaREs workshop 2016/9/12-16 (consisting of Grossman, Izumi, Morrison, Penneys, Peters, and Snyder)
- Contact organizer for an AMS Special Session on von Neumann algebras at the AMS Sectional Meeting in Memphis 2015/10/17-8 (organized with Vaughan F. R. Jones)
- Wrote a proposal for the workshop Subfactors and Conformal Field Theory at Oberwolfach 2015/03/22-8 with the official organizers (Bisch, Gannon, Jones, and Kawahigashi)
- Contact organizer for an AMS Special Session on Classification problems in operator algebras at the Joint Meetings in San Antonio 2015/1/11-12 (organized with Arnaud Brothier, Ionut Chifan, Darren Creutz, and Remus Nicoara)
- Co-organizer for Subfactor Theory in Mathematics and Physics, in honor of the 60th birthday of Vaughan Jones 2014/7/14-18 (organized with Bisch, Brothier, Jones, Morrison, Snyder, Tener, and Willet).
Conference proceedings available online here.
- Contact organizer for a workshop on Subfactors and fusion categories at BIRS 2014/4/13-8 (organized with Jones, Morrison, Peters, and Snyder)
- Contact organizer for an AMS Special Session on Classification problems in operator algebras at the Joint Meetings in Baltimore 2014/1/15-6 (organized with Ionut Chifan)
- Contact organizer for
Subfactors in Maui 2011
- Contact organizer for
Subfactors in Tahoe 2011
- Contact organizer for
Subfactors in Tahoe 2010
Microconferences
Seminars
- Quantum algebra seminar at the Fields Institute Fall 2013 - Spring 2014 [talk abstracts]
- Subfactor seminar at UC Berkeley Fall 2009 - Spring 2012
- Student subfactor seminar at UC Berkeley Spring 2008 - Fall 2009
Surveys, expository articles, and miscellaneous
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