Montek Singh Gill

About Me |

Papers and Expository Writings |

Talks, Seminars and Conferences |

Teaching

Talks

Upcoming talks

Stabilizations of E operads and p-adic stable homotopy theory, Algebraic Topology Seminar, University of Chicago, January 14, 2020.

Invited talks / Conference talks

Stable operads and p-adic stable homotopy types, Equivariant Topology & Derived Algebra: A Jolly Pleasant Conference for Greenlees, NTNU, July 29, 2019.
Stable operads and p-adic stable homotopy types, GSTGC 2019, University of Illinois, Urbana-Champaign, March 30, 2019.
Stable operads and spectral (co)chains, Geometry and Topology Seminar, University of Western Ontario, January 9, 2019.
Stable operads and spectral (co)chains, AMS Fall Central Sectional Meeting: Structured Homotopy Theory, University of Michigan, October 21, 2018.
Chains and cochains on spectra, Geometry & Topology Seminar, University of Sydney, August 8, 2018.
The Dold-Kan correspondence and commutative dgas, European Autumn School in Topology 2017, Utrecht, The Netherlands, September 25, 2017.
Linear representations of 3-manifold groups over rings, GSTGC 2017, Michigan State University, April 8, 2017.
Are compact 3-manifold groups residually PSL(2,R) for finite, commutative R?, Geometry & Topology Seminar, University of Sydney, August 17, 2016.

Mini-course

In May, 2019, I taught an 8-hour course aimed at graduate students at the University of Michigan entitled "Homotopy theory and derived algebra via ∞-categories".

Other

An introduction to ∞-categories, Student Homotopy Theory Seminar, University of Michigan, September 25, 2019.
Characteristic classes for the working geometer, Student Geometry & Topology Seminar, University of Michigan, April 16, 2019.
(Co)homology operations: Steenrod and Dyer-Lashof operations, Student Homotopy Theory Seminar, University of Michigan, April 8, 2019.
The correspondence between infinite loop spaces and grouplike E spaces, Student Homotopy Theory Seminar, University of Michigan, February 4, 2019.
Introduction to the Goodwillie calculus, Student Homotopy Theory Seminar, University of Michigan, December 13, 2018.
Learning automata and languages, Student Machine Learning Seminar, University of Michigan, December 7, 2018.
Topological Hochschild homology and topological cyclic homology, Student Homotopy Theory Seminar, University of Michigan, December 6, 2018.
Solving Thurston's hyperbolic gluing equations over commutative rings, Student Geometry & Topology Seminar, University of Michigan, November 27, 2018.
The (∞,1)-category of spaces and the stable (∞,1)-category of spectra, Student Homotopy Theory Seminar, University of Michigan, October 4, 2018.
Inferring the topology of quantum phase space (after L. Polterovich and L. Charles) II, Symplectic Reading Group, University of Michigan, April 27, 2018.
Inferring the topology of quantum phase space (after L. Polterovich and L. Charles) I, Symplectic Reading Group, University of Michigan, April 20, 2018.
Higher algebra and the Goodwillie calculus, Student Homotopy Theory Seminar, University of Michigan, April 13, 2018.
The Simplicial Model of Univalent Foundations (after Voevodsky) (after Kapulkin-Lumsdaine) II, Homotopy Type Theory Reading Seminar, University of Michigan, April 13, 2018.
The Simplicial Model of Univalent Foundations (after Voevodsky) (after Kapulkin-Lumsdaine) I, Homotopy Type Theory Reading Seminar, University of Michigan, March 30, 2018.
Waldhausen's algebraic K-theory of spaces, Student Geometry & Topology Seminar, University of Michigan, March 6, 2018.
The very many uses of simplicial objects: spaces, (∞,1)-categories, resolutions, higher algebraic structures, Student Homotopy Theory Seminar, University of Michigan, February 16, 2018.
Algebraic K-theory and THH (after Bökstedt), Student Homotopy Theory Seminar, University of Michigan, January 26, 2018.
Model categories, simplicial sets and the Dold-Kan correspondence, Student Homotopy Theory Seminar, University of Michigan, November 21, 2017.
Stable homotopy theory: spectra, generalized cohomology theories and higher algebraic structures, Student Geometry & Topology Seminar, University of Michigan, October 24, 2017.
Introduction to simplicial sets and their homotopy theory, Student Geometry & Topology Seminar, University of Michigan, March 14, 2017.
Model categories and homotopical algebra, Student Geometry & Topology Seminar, University of Michigan, October 25, 2016.
Stiefel-Whitney classes and real division algebras, Mathematics Postgraduate Seminar Series, University of Sydney, August 29, 2016.
Introduction to fibre bundles, classifying spaces and characteristic classes, Student Geometry & Topology Seminar, University of Michigan, November 3, 2015.

Seminars

Student Homotopy Theory Seminar

I am the founder and organizer of the Student Homotopy Theory Seminar.

Student Geometry & Topology Seminar

I was a co-organizer of the Student Geometry & Topology Seminar from Fall 2017 to Winter 2019.

Homotopy Type Theory Reading Seminar

In the Winter semester of 2018, I was part of a reading seminar on homotopy type theory. This included, for example, reading Kapulkin-Lumsdaine's ''The Simplicial Model of Univalent Foundations (after Voevodsky)''.

Machine Learning Reading Seminar

In the Winter and Fall semesters of 2018, I was part of a reading seminar on machine learning, working through Mohri-Rostamizadeh-Talwalkar's ''Foundations of Machine Learning'' (mostly chapters 1-5), and then further specialized topics.

Symplectic Reading Group

In the Winter semester of 2018, I was part of a reading group on symplectic geometry.

Conferences and Workshops

October 26, 2019: ''The Mid-Atlantic Topology Seminar'' at the University of Virginia.
October 19 - October 20, 2019: ''Midwest Homotopy Type Theory Seminar (Fall 2019)'' at the University of Michigan.
October 4 - October 6, 2019: ''Midwest Topology Seminar: Mayday 2019'' at the University of Chicago.
July 29 - August 2, 2019: ''Equivariant Topology & Derived Algebra: A Jolly Pleasant Conference for Greenlees'' at NTNU, Trondheim.
May 18-19, 2019: ''Midwest Topology Seminar Spring 2019'' at Michigan State University.
May 10-12, 2019: ''55th Topology Festival'' at Cornell University.
May 2-5, 2019: ''Differential Geometry, Calabi-Yau Theory and General Relativity: A conference in celebration of the 70th birthday of Shing-Tung Yau'' at Harvard University.
April 13-14, 2019: ''Shanks Workshop on Homotopy Theory 2019'' at Vanderbilt University.
March 30-31, 2019: ''Graduate Student Geometry & Topology Conference (GSTGC) 2019'' at University of Illinois, Urbana-Champaign.
March 16-17, 2019: ''Workshop on Functor Calculus'' at Ohio State University.
February 23, 2019: ''Midwest Topology Seminar Winter 2019'' at University of Illinois, Urbana-Champaign.
November 10-11, 2018: ''Upstate New York Topology Seminar'' at University at Albany, SUNY.
October 20-21, 2018: ''AMS Fall Central Sectional Meeting: Structured Homotopy Theory'' at University of Michigan.
September 11-14, 2018: ''Vladimir Voevodsky Memorial Conference'' at Institute for Advanced Study, Princeton.
April 1-7, 2018: ''Arbeitsgemeinschaft: Topological Cyclic Homology'' at MFO, Oberwolfach.
March 14-16, 2018: ''1st Canadian Geometry and Topology Seminar'' at The Fields Institute.
March 3, 2018: ''Midwest Topology Seminar Winter 2018'' at Northwestern University.
November 11, 2017: ''Midwest Topology Seminar Fall 2017'' at Wayne State University.
October 27-29, 2017: ''No Boundaries: Groups in Algebra, Geometry, and Topology, A Celebration of the Mathematical Contributions of Benson Farb'' at the University of Chicago.
September 25-29, 2017: ''European Autumn School in Topology 2017'' in Utrecht, The Netherlands.
September 8-10, 2017: ''Groups explored through geometry and dynamics: A Conference in Celebration of Lee Mosher'' at Princeton University.
April 8-9, 2017: ''Graduate Student Geometry & Topology Conference (GSTGC) 2017'' at Michigan State University.
March 25-26, 2017: ''Shanks Workshop on Homotopy Theory 2017'' at Vanderbilt University.
July 2-4, 2014. ''Australian Mathematical Sciences Student Conference (AMSSC)'' at Newcastle University.
April 2-4, 2014: ''Computational & Algorithmic Topology'' at University of Sydney.