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Counselor Talks
The counselors both contribute to and benefit from the mathematically rich environment at PROMYS by creating and attending a wide range of talks and seminars both for the students and for each other. Counselors also invite their peers, undergraduate and graduate students at top math programs, to speak to the PROMYS community. Often these peers are also PROMYS alums.
2012 Minicourses, Reviews, Counselor Seminars (Algebraic Number Theory and Lie Theory), and Minicourses for Counselors
2012 Minicourses
July 6
Möbius Functions: Applications to Geometry - Senia Sheydvasser, alumnus
July 9
Combinatorial Game Theory - Erick Knight
July 10
Compactness - Dylan Yott
July 11
Counting Colorings Cleverly - Zev Chonoles
July 12
Walks on Graphs - Qiaochu Yuan
July 16
Coloring Maps - Eva Belmont
July 23
Cryptography - Andrew Ardito
July 24
P vs NP - Tomer Reiter
July 26
Polynomials - Derek Hollowood
July 27
How to Beat RSI at Frisbee - Andrew Ardito and Ian Frankel
July 30
The Basel Problem - Michael Dunn-Goekjian
Watch Charlotte do LaTeX on the Board with her Left Hand - Charlotte Chan
July 31
Math and Chess - Kate Thompson
August 2
Algebraic Music Theory - Joe Stahl
The p-adic Numbers - Ian Frankel
August 10
The Earth is Spherical: Truth or Belief? - Jenny Yeon
The T-shirt Talk - Ian Frankel
Mini-mini-marathon - all counselors
2012 Reviews
July 17
Chain of Reasoning - Djordjo Milovic, William Perry
Numericals - Joe Stahl, Dylan Yott
July 18
Rigor - Andrew Ardito, Charlotte Chan, Ian Frankel
July 19
Miscellaneous - miscellaneous counselors
August 8
Numericals - Andrew Ardito, Djordjo Milovic
Circle of i - Michael Greenberg, Qiaochu Yuan
August 9
QR - Eva Belmont, Erick Knight
Continued Fractions - Andrew Ardito, Ian Frankel
August 10
Miscellaneous - miscellaneous counselors
2012 Algebraic Number Theory Counselor Seminars
July 3
Introduction to Algebraic Number Theory - Erick Knight
July 6
Rings of Integers, Dedekind Domains, etc. - Kate Thompson
July 10
Dedekind Domains - Djordjo Milovic
July 11
Dedekind Domains - Djordjo Milovic
July 18
Recap: Intro to the Class Group - Kate Thompson
July 23
Finiteness of the Class Number - Kate Thompson
July 26
Galois Actions on Number Fields - Erick Knight
August 1
Discriminants - Djordjo Milovic
August 2
Algebraic Number Theory Recitation Session - Erick Knight
August 6
The Minkowski Bound - Kate Thompson
2012 Lie Theory Counselor Seminars
July 12
Introduction to Lie Theory - Ian Frankel
July 13
Representation Theory of Compact Groups - Qiaochu Yuan
July 17
The Peter-Weyl Theorem - Eva Belmont
July 19
Representations of S1 - Djordjo Milovic
July 24
The Story of sl(2) and its Representations - Charlotte Chan
July 27
SU(2), SO(3) and the quaternions - Qiaochu Yuan
July 31
SO(4) and Plücker relation - Lucas Culler, alumnus
August 7
Tensor Products of Representations - Qiaochu Yuan
August 8
Representations of sl(3) - Ian Frankel
2012 Counselor Guest Lectures and Minicourses for Counselors
July 3
The Spectral Theorem - Ian Frankel
July 5
Riemann Surfaces - Tim Holland
July 6
Multilinear Algebra - Qiaochu Yuan
July 7
Mathematical Foundations of Quantum Mechanics - Senia Sheydvasser, alumnus
July 27
Minimal Surfaces - Daniel Alvarez-Gavela, alumnus
2011 Minicourses, Review Sessions, Counselor Seminars, Counselor Guest Lectures, and Minicourses for Counselors
2011 Minicourses
July 7
Eulerian Graphs – Daniel Alvarez-Gavela
The Limits of Computation – Jeremy Booher
July 8
Extremal Combinatorics – Corina Panda
SETs and Anti-SETs: The Math Behind the Game of SET – Charlotte Chan
July 11
Point-Set Topology – Zev Chonoles
Matrices, Endomorphisms, Eigenvalues, and Hobbits – Daniel Alvarez-Gavela
July 12
The Probabilistic Method – Andy Zucker
The Fundamental Group – William Perry
July 14
Constructing the Reals – Ian Frankel
Frisbee Minicourse – Ian Frankel, William Perry, Andrew Ardito
July 18
Constructing the Integers – Jeremy Booher
LaTex and eMacs Minicourse – Alan Chang, Andrew Ardito
July 25
Convergence of Sequences; Points and Functions – Daniel Alvarez-Gavela
July 26
To Infinity and Beyond – The Reverend Senia Sheydvasser
Linear Programming – Michael Greenberg
July 28
An Introduction to Fractals – Robyn Fielder, Khrystyna Nechyporenko
Random Polynomials – Djordjo Milovic
August 1
Graph Planarity: Kuratowski’s Theorem – Elaine Liew
Probability Distributions and the Central Limit Theorem – Richard Zhang
Combinatorial Game Theory – Alan Chang
August 3
What is the “Right” Right Triangle – The Reverend Senia Sheydvasser
Frivolous Applications of Linear Algebra – Irving Dai
Sylow Theorems – Andrew Ardito
August 4
Compass and Straightedge Constructions – William Perry
Number Theory in Cryptography – Robyn Fielder, Jeremy Booher
Computational Complexity – Jason Bland
August 12
The 2011 T-Shirt: Cubic Reciprocity – Jeremy Booher
Rubik’s Cube – Alan Chang
2011 Review Sessions
July 19
Rigor – Charlotte Chan, Corina Panda, Djordjo Milovic
July 20
Chain of Reasoning – Ian Frankel, Andy Zucker
Numericals – Andrew Ardito, Jeremy Booher
July 21
Miscellaneous – Miscellaneous counselors
August 8
Numericals – Alan Chang, Richard Zhang
Continued Fractions – Jeremy Booher, Andrew Ardito
August 9
Circle of i – Yoana Gyurova, Zev Chonoles
Quadratic Reciprocity – Daniel Alvarez-Gavela, Andy Zucker
August 10
Miscellaneous – Miscellaneous counselors
2011 Counselor Seminars - Representation Theory
July 9
Introduction to Representation Theory and First Examples – Charlotte Chan
July 15
Characters as an Orthonormal Basis – Ian Frankel
July 16
Semisimplicity – Jason Bland
July 24
Induced Representations and Frobenius Reciprocity – Djordjo Milovic
July 26
Brauer’s Theorem – Djordjo Milovic
July 30
Character Tables or Solving Representation Theory Sudoku – Corina Panda
July 31
Representations of the Symmetric Group via Young Tableaux, Part 1 – Jeremy Booher
August 7
Representations of the Symmetric Group via Young Tableaux, Part 2 – Jeremy Booher
Modular Representations of Symmetric Groups – Charlotte Chan
2011 Counselor Seminars - Differential Geometry and Topology
July 9
Introduction to Differential Topology – Zev Chonoles
July 15
Regular Values – Daniel Alvarez-Gavela
July 16
Applications of Regular Values – William Perry
July 17
Tangent Vectors – William Perry
July 29
Vector Bundles – Zev Chonoles
Degree Theory – Daniel Alvarez-Gavela
August 5
Vector Fields – Daniel Alvarez-Gavela
August 6
The Magic of the Euler Characteristic – Daniel Alvarez-Gavela
2011 Counselor Minicourses and Counselor Guest Lectures
July 10
Category Theory, Part 1 – William Perry, Zev Chonoles
July 12
Category Theory, Part 2 – William Perry, Zev Chonoles
July 17
The Probabilistic Method – Andy Zucker
July 19
Transcendental Numbers – Jeremy Booher
July 27
Modularity of CM Elliptic Curves – Erick Knight (Princeton University)
August 1
Banach Spaces, Part 1 – Ian Frankel
August 2
Banach Spaces, Part 2 – Ian Frankel
K-Theory – William Perry
August 4
The Schoenflies Conjecture and Morse Theory – Lucas Culler (MIT)
K-Theory – Daniel Alvarez-Gavela
August 6
A Gentle Introduction to Algebraic Number Theory Through Cyclotomic Fields – Carl Erickson (Harvard University)
August 7
Hamiltonian Mechanics – The Reverend Senia Sheydvasser
August 8
K-Theory – William Perry, Daniel Alvarez-Gavela
August 10
K-Theory – Andres Larrain Hubach (Boston University)
