Talks By Students

MAT477Y in 2009-2010, 2011-2012, and 2013-2014, and MAT448-MAT1155 in 2016S. Instructor: Pierre Milman
MAT477, Fall 2016. Instructor: Dmitry Panchenko

Class Photos

• Class Photo 2009-2010
• Class Photo 2013-2014
• MAT448-MAT1155 Class Photo 2016S

Class Notes

• Introduction - Exercises I, Sept - Oct 2009.
• Introduction - Exercises II, Oct 2009.
• 2013-2014, introductory talk by Pinaki Mondal
• Fall 2016 introductory material by Dmitry Panchenko on "Gaussian Distributions with applications".

Talks By Undergraduate Students

MAT477Y, 2009-2010

• Oct 30, 2009 and Jan 8, 2010. DeRham Theorem - Whitney's proof (2 talks: Paul Harrison and Nora Margret Loose).
• Alg.Geom. talk: Jan 15, 2010. Hilbert's Nullstellensatz (Jia Ji).
• Jan 22, 2010. Distance to Hypersurface Theorem (Dejan Ignjatovic).
• Jan 29, 2010. Sard's theorem. Proof, applications (Pavel Golikov).
• Feb 05, 2010. An Introduction to Degree of Smooth Maps (Mustazee Rahman) See also supplementary notes.
• Alg.Geom. talks: Feb 12--Mar 02, 2010. Resolution of Singularities (3 talks: Will Pazner and (two) by Ilia Smirnov).
• Mar 05--Mar 16, 2010. $C^\infty$ Preparation Thms and Whitney's topologically stable maps of $R^2$ to $R^2\ $ (3 talks: Omar Rammo, Kejia Wang and Janet Li).
• Alg.Geom. talk: Mar 12, 2010. Algebraic Curves and Riemann Surfaces (Matthew Baxter).
• Mar 19, 2010. Explicit Inverse Mapping Theorem and an application (Siu Sing Chow).
• Alg.Geom. talk: Mar 26, 2010. Chow Theorem: *analytic implies analytic (Mitsuru Wilson).
• Alg.Geom. talk: Mar 30, 2010. Bezout Theorem: `None at $\infty$' implies $\#P^{-1}(0) =$ product of degrees (Jooho Jeremie Kim).

MAT477Y, 2011-2012:

• MAT477in2012JurajMilcakOnPadicNumbers
• Alg.Geom. talk: MAT477in2012byIanHungEquisingularTalk
• Alg.Geom. talk: MAT477in2012byIanHungWeierPrepThmTalk
• Alg.Geom. talk: MAT477in2012byJohnFlemingNulstellensatz
• Alg.Geom. talk: MAT477in2012byJohnFlemingPluckerTalk
• MAT477in2012march13byJurajMilcakOnHasseMinkowskiThm
• MAT477in2012byJurajMilcakOnHasseMinkowskiThmAppendix
• MAT477in2012byJurajMilcakOnKakeyaThm
• Alg.Geom. talk: MAT477in2012byQuentinCouixChowsThmIdeals
• Alg.Geom. talk: MAT477in2012byQuentinCouixClassicalChowsThm

MAT477Y, 2013-2014:

• MAT477in2014byAaronCrightonHilbert17
• MAT477in2014byAlexGodelDefin
• MAT477in2014byAlexGodelInc
• MAT477in2014byBillGuoCLT
• Alg.Geom. talk: MAT477in2014byChanghoHan2ndChowTheorem
• Alg.Geom. talk: MAT477in2014byChanghoHanChowTheorem
• MAT477in2014byPaulSacawa1
• MAT477in2014byPaulSacawa2
• MAT477in2014byVitalySmirnovDeRham1
• MAT477in2014byDylanBudsonDeRham2
• MAT477in2014byDylanBudsonPoincareDuality
• Alg.Geom. talk: MAT477in2014byViktoriyaBaydinaHilbNull
• MAT477in2014byTomasKojarMorseThm
• Alg.Geom. talk: MAT477in2014byPaulSacawaChowIdeal
• MAT477inApril2014unalteredStudentsChoiceFavouriteThms
• Presentation in MAT448 2-3 by Jia-Shuyang - Chow's Theorem 2016S

MAT477, Fall 2016:

• Project by Shuyang Shen and Tianyu Zhou on "Confidence sets in multiple linear regression, and Gaussian correlation inequality".
• Project by Xinyi (Cindy) Zhang on "Stein's characterization of Gaussian distribution, and examples of the central limit theorem".
• Project by Kevin (Min Seong) Park on "The Johnson-Lindenstrauss lemma".
• Project by David Miyamoto on "The Dvoretzky theorem".
• Project by Ruilin Li and Luning Li on "The Gaussian isoperimetric inequality".
• Project by Ruilin Li on "The capacity of the perceptron, or uncorrelated Gardner's problem".
• Project by Zhenan Fan and Yang Wang on "The generalization ability of neural networks".
• Project by Mitchell Kessler on "Constructions of Brownian motion, with some basic properties".

Talks By Graduate Students

• Presentation in MAT1155 1 by Bai - Hilbert Polynomial and Dimension 2016S
• Presentation in MAT1155 4 by Ilir - DeRham Theorem 2016S
• Presentation in MAT1155 5 by Jihad - Definitions Zariski Main Thm 2016S
• Presentation in MAT1155 5 by Jihad - Zariski Main Thm 2016S
• Presentation in MAT by Bai - Hilbert-Riemann-Roch in dim 1 2016summer