Topics of interest and more

Notes

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Space Curves as Complete Intersections - expository notes, written during a summer project at TIFR.

Topics in Loop Groups and Vertex Algebras - expository notes, written in preparation for my oral examination.

Floer Homology in Gauge Theory - expository notes based on a paper by Prof. Kenji Fukaya (may not be completed).

What is A Infinity Algebra? - expository notes for self-edification (to be completed).

The Whitehead Product on Homotopy Groups - expository notes for self-edification (to be completed).

A Comparison Between Two Four Manifolds - mostly expository article; contains a result about higher homotopy groups.

An Introduction to Equivariant Homology - an expository article giving an axiomatic characterization and a few examples.

Talks

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The Maximal Tori Theorem of E. Cartan - talk given at the graduate student seminar (fall '06).

An Introduction to Chern-Simons Theory - talk given at the graduate student seminar (spring '07).

The Growth and End of Groups - talk given at the graduate student seminar (fall '07).

What is an Eilenberg-MacLane space? - talk given at the graduate student seminar (spring '09).

Homotopy Groups of Lie groups - talk given at the graduate student seminar (spring '09).

Games on Graphs - talk given at CTY (Stony Brook) for high school students (fall '09).

Cohomology of Lie Groups - talk given at the graduate student seminar (fall '09).

An Introduction to String Topology - colloqium talk given at Indian Statistical Institute, Kolkata (18th Jan '10).

String Topology and Diffeomorphism Invariants - talk given at FRG Work shop, UC Berkeley (17th Jan '11).

What is the Bar Construction? - talk given at the graduate student seminar (spring '11).

String Topology and Invariants of Manifolds - talk given at AMS Spring Eastern Sectional Meeting, Worcester, MA (9th April '11).

Class notes

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Topics in Differential Topology - lecture notes from a course by Prof. Blaine Lawson (to be completed).

Topological Quantum Field Theory - scanned lecture notes from a course by Prof. Alexander Kirillov, Jr. (Thanks to Ben Balsam for scanning it)

Lectures by Prof. Blaine Lawson. - a little bit of Atiyah-Singer index theorem with Morse theory coming up.

Lectures by Prof. Dennis Sullivan. - some of the talks given in his Friday classes.

Seminars

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Higher Categories & Topology - lecture by Prof. John Baez given at the Einstein seminar at CUNY '10.

Miscellaneous

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Batalin Vilkovisky Algebra - on the equivalence of the various definitions.