### Previous colloquia and lectures (scroll down for previous student seminars)

October 2018 | Diana Thomas, West Point (Heard Lecture) | Who should take 10,000 steps per day? |

October 2018 | Paul Patrone, NIST | The proof is in the patent: Considering microfluidics through the lens of real analysis |

December 2018 | Catherine Pfaff, Queen's University | Symmetries, outer space, and the outer automorphism group of the free group |

February 2019 | Kelsey Houston-Edwards (Olin) | Achieving rental harmony with a secretive roomate |

February 2019 | Priya Kohli (Connecticut College) | Covariance modeling for correlated data: A data-driven approach |

April 2019 | Richard Schwartz (Brown University) | Inscribing triangles and rectangles in continuous loops |

April 2019 | Maura Paterson (Birkbeck University of London) | Some applications of combinatorics in information security |

September 2017 | Tom Garrity, Williams College | On Some Wonders of Factoring and Its Many Choices |

October 2017 | Amy Wagaman, Amherst College | Making Decisions with Data Relevant to You |

October 2017 |
Mitchel Keller, Washington and Lee University | Online Algorithms: Dealing with an Evolving Situation |

November 2017 | Melinda Lanius '12, UIUC | Ice Cream Geometry: A Mathematical Activity and Coloring Book |

February 2018 | Abigail Raz, Rutgers | The Union-Closed Sets Conjecture |

February 2018 | Joe Lauer, Wellesley | Zooming in on geometric flows |

March 2018 | Bernhard Klingenberg, Amherst | Comparing margins of multivariate binary data |

March 2018 | Tamar Mentzel, MIT | Using statistics to understand electrical noise in novel materials |

September 2016 | Ismar Volić, Wellesley College | Cryptography and privacy |

October 2016 | Kara Yacoubou Djima, Amherst College | A taste of data analysis via applied harmonic analysis |

October 2016 |
Margaret Robinson, Mount Holyoke College | The wonderful world of p-adic numbers where the discrete meets the continuous |

November 2016 | Amanda Curtis '11, UCSB | An introduction to topological quantum computing and (some of) the mathematics behind it |

November 2016 | Reed Solomon, University of Connecticut | Finding order in the random: Ramsey style regularity theorems |

February 21 | Prof. Mark Glickman, Harvard University | Rating the chess rating system |

March 1 | Dr. Eugenia Cheng | How to bake pi |

April 12 | Jeremy Kepner, MIT | Enabling scale-up, scale-out, and scale-deep for big data |

September 2015 Andy Schultz Qbert through the looking glass October 2015 Garth Isaak What's your order? October 2015 Beth Romano From planets to polynomials November 2015 Kathryn Lesh The Fibonacci numbers, the Golden Ratio and the levels of irrationality November 2015 Catherine Lucarelli Mathematics and the National Security Agency April 2016 Jessica Dyer Discrete dynamical systems April 2016 Voula Collins '09 Knutson-Tao puzles and their uses

September 2014 Dan Rockmore Reading, writing, and 'rithmetic - The mathematics of text analysis October 2014 Megan Heenehan K_d are you there? November 2014 Cornelia Van Cott Sometimes pi equals 4 February 2015 Aviva Halani '07 Student thinking about combinatorics solution sets February 2015 Bob Milniker A new angle on an old construction

September 2013 Keith Conrad What is the ABC conjecture? October 2013 Ruth Charney From Robotics to Geometry November 2013 Cassandra Pattanayak One embryo or two for fertilization? Assessing causation without randomization November 2013 Erica Camacho Understanding gene regulatory interactions through recurrent neural network models March 2014 Sarah Greenwald Mathematical morsels from the Simpsons and Futurama April 2014 Shannon Stock Regression tree methods for the analysis of HIV viral genetic mutations April 2014 Nathan Karst From blood flow to lava: The mathematics of oscillating fluids

September 2012 Julianna Stockton Hungarian Mathematics Education: A Tradition of Excellence Transitions to the 21st Century October 2012 Setyan Devadoss The World of Particle Collisions November 2012 Genevieve Walsh What is an orbifold? December 2012 David Pollack An Introduction to the Arithmetic of Elliptic Curves Februbary 2013 William Dunham Euler in Action April 2013 Mark Behren Exotic Spheres April 2013 Elisenda Grigsby Braids

September 2011 Megan Kerr Nonnegatively curved homogeneous spaces: how is algebra controlling geometry? October 2011 Moon Duchin Counting Problems October 2011 Andrew Schultz A $q$-analog of Fleck's congruence October 2011 Alex Diesl Strongly Clean Matrices November 2011 Karen Lange Searching for simple integer parts November 2011 Caroline Klivans The Space of Phylogenetic Trees

February 2012 Michael Ching Apollonian circle packings of the half-plane

February 2012 Aaron Hoffman Phase Planes, Waves and Delays

February 2012 Nathan Karst Reliable data transmission over a wireless channel

March 2012 Andrew Schultz Linear Algebra in your daily (digital) life

March 2012 Brian Storey Modeling Flow and Transport in Nanofluidic Devices

March 2012 Christine Breiner Existence and Uniqueness of Minimal Surfaces

April 2012 Elizabeth Denne Rectangles and other polygons inscribed in curves

April 2012 Ann Trenk The Discrepency of a Poset: Mathematical Approach to Fair Rankings

April 2012 Ashley Dombkowski Research, MeSearch, WeSearch: How consumer-directed genetic technologies are changing the face of medicine

April 2012 Ismar Volic

Configuration spaces in topology

September 2010 Andrew Schultz Algebraic $K$-theory and Quadratic Reciprocity October 2010 David Mazur Error-correcting codes: what Hamming wrought November 2010 Jonathan Tannenhauser Entropy, Strings and Partitions of Integers November 2010 Charles Bu Math Education in China November 2010 Ismar Volic The fundamental theorem of finite type knot invariants November 2010 Catherine Roberts An Equation Runs Through It: River Rafting in the Grand Canyon March 2011 Allison Pacelli Algebraic Number Theory: An Ideal Subject March 2011 Thomas Fleming Milnor Numbers and Clasper Surgery: How Mathematicians Study Stretchy Strings

September 21, 2009 Steven Miller Pythagoras at the Bat: an Introduction to Statistics and Mathematical Modelling October 20, 2009 Chelsea Walton Noncommutative Geometry?! November 4, 2009 Jillian Mcleod Partition Regular Matrices from a Linear Algebraic Perspective November 13, 2009 Francis Su Voting in Agreeable Societies

September 23, 2008 Karen Parshall Internationalization of Mathematics October 21, 2008 Kathryn Leonard The Terminator's eyeballs November 4, 2008 Sol Friedberg Euler products and twisted Euler products November 13, 2008 Dev Sinha Fixed points, from fractals to your coffee December 2, 2008 John McCleary The square-peg problem March 10, 2009 Pascal Lambrechts The Poincaré conjecture and the shape of the universe March 16, 2009 Mark Kayll Integrals and graph theory April 14, 2009 Joseph Mileti #### Rainbow problem

October 2, 2007 Jill Pipher, Brown Univrersity Public key cryptography, lattices and NTRU November 5, 2007 Ben Brubaker, MIT Rethinking Riemann's zeta function February 12, 2008 Bob Devaney, Boston University The Mandelbrot set and Fibonacci sequence April 1, 2008 Brian Munson, Harvard University Two things about the linking number April 22, 2008 Seth Sullivant, Harvard University How secure is your data?

### Previous Student Seminars

Spring 2019

February 4 | Prof. James Barnes | What are Gödel's incompleteness theorems? |

March 4 | Dorothy Sun | Introduction to topological data analysis |

April 1 | Tu Pham | Duality of probability and option pricing |

April 8 | Demilade Adeboye | What we hear and why we like it: Intersections between math and music |

April 22 | Franjo Šarčević (University of Sarajevo) | Fixed-point theorems in topology |

May 6 | Candice Gong | Knot theory: A tangible introduction to topology |

Fall 2018

September 6 | Zach Riggins del Rosario | The curse of dimensionality |

September 17 | Madie Farris | Playing ball with the largest prime factor |

September 24 | Smaranda Sandu '14 | Understanding and modeling human behavior |

October 15 | Prof. Ann Trenk | Symmetry breaking in posets |

October 22 | Various students | Panel on summer research opportunities |

October 29 | Amy Li | Analysis of microfluidic flow rate measurements |

November 5 | Ashley Peng | A small intro to coding theory |

November 19 | Ginny Nie | Option pricing using Monte Carlo simulation |

November 26 | Bridget Schreiner '17 | The Brower Fixed Point Theorem |

Spring 2018

Monday Feb 5 | Nixia Chen | Sobolev spaces |

Tuesday Feb 20 | Caitlin Hardwick | Minimal surfaces and soap films |

Monday Feb 26 | Yu Shen | Orbifolds and their application in music |

Monday Mar 5 | Maggie Lees | Dihedral groups and their application to music theory |

Monday Mar 19 | Sophia Sun | The Curry–Howard correspondence, i.e. proofs as programs |

Monday Apr 9 | Hannah Contreras | Introduction to public health: Mathematical modeling of infections diseases |

Tuesday Apr 17 | Sydney Bai | Representing rationality with lexicographic preferences in the reals |

Monday Apr 23 | Gillian Courtney | Three's a crowd: How game theory borrows from functional analysis |

Monday Apr 30 | Vivienne Xu | Simplicial and persistent homology |

Thursday May 10 | Georgia Stylianides | A statistical investigation into value in art auctions |

Fall 2017

September 18 | Prof. Mira Bernstein, Tufts University | Mathematics and gerrymandering: the search for a mathematical definition of fairness |

September 25 | Maya Madhavan | An alternative derivation of the infinite power series for arctangent: The Kerala School of Mathematics' approach |

October 2 | Keertana Anandraj | Supertree reconstruction via weighted quartets |

October 23 | Victoria Wu | Support vector machines and their applications |

November 27 | Sarah Barden | Complex numbers in circuit analysis |

December 4 | Laurel Kinman | Paper crane proteins: Optimization methods in protein folding |

December 11 | Erica Zhang | Using Markov chains to model stock market trends |

Spring 2017

February 6 | Prof. Ann Trenk | Split graphs |

February 27 | Megan Chen | The Monty Hall problem |

March 13 | Prof. Steve Robertson, Southern Methodist University | Attending graduate school in statistics |

March 20 | Emily Van Laarhoven | How probability can help you find a spouse and why gold-digging may be easier than finding true love |

April 3 | Caroline Hornung | Counting systems |

April 10 | Xi Xi | Started from the bottom now we're here: From a dot to a tesseract (four-dimensional cube) |

April 24 | Isabelle Schoppa | Statistical genetics and epidemiological research at the Framingham heart study |

May 1 | Angela Wu | An n-kings problem |

Fall 2016

Sept 12 | Prof. Jonathan Tannenhauser | The Man with Three Wives |

Sept 19 | Madeleine Barowsky | Everything But The |

Oct 3 | Prof. Andy Schultz | First Putnam problem session |

Oct 10 | No seminar due to Columbus Day | |

Oct 17 | Lauren Heller | What is a real number? An introduction to Dedekind cuts |

Oct 24 | Colleen Larkin | The mathematics of voting |

Oct 31 | Spring course preview lunch | |

Nov 7 | Various students | Panel on summer math opportunities |

Nov 14 | No seminar due to afternoon colloquium | |

Dec 5 | Min Fu | Benford's Law and application to credit default swap market |

Spring 2016

Feb 22 | Alexi Block Gorman | Rings and things |

Feb 29 | Carina Belvin | Quantum mechanics and pi |

March 7 | Bridget Schreiner | Infinity, Banach-Tarski, and the Axiom of Choice |

March 14 | Abigail Jones | Rounding up to π |

April 4 | Hui Li | Math in econ - modeling financial sophistication |

April 11 | Rohana Gao | Mathematics in art - symmetry and Islamic art |

April 19 | Jaymee Sheng | Philosophies of probability |

April 21 | Eka Zhao | Black-Scholes and molecules - birth, death, redemption of an assumption |

April 25 | Voula Collins '09 | Knutson-Tao puzzles and their uses (this talk doubles as a department colloquium) |

May 2 | Phyllis Ju | Linear algebra in machine learning - nonlinear dimensionality reduction by locally linear embeddings |

Fall 2015

Sept 21 | Yiran Cheng | Constructing infinitely "small" real numbers |

Sept 28 | Alexi Block Gorman | Burritos (and maybe some number theory...) |

Oct 5 | Phyllis Ju | Frobenius algebras and 2-dimensional cobordisms |

Oct 19 | Katya Shipunova and Nikki Yankova | Cutting ham sandwiches (and the like...) fairly |

Oct 26 | No seminar | |

Nov 2 | Madeleine Barowsky | Zero-knowledge proofs |

Nov 9 | Lily Chen | Big numbers (sizes of infinity) |

Nov 16 | Simona Boyadzhiyska and Snow Zhang | Computability and classifications of structures |

Nov 23 | Melissa Zambrana | How to win at Battleship |

Nov 30 |
Alexi Block Gorman, Simona Boyadzhiyska, Katya Shipunova, Melissa Zambrana |
Panel on math experiences outside the classroom |

Dec 7 | Meryl Fang and Michelle Chang | Stochastic Processes! |

Spring 2015

Feb 23 | Catherine Coravos | The Smith College Diploma Problem |

Mar 2 | New Majors Lunch! | |

Mar 9 | Meredith McCormack-Mager | How To Not Get Sick: Modeling Public Health Outcomes for Polio |

Mar 16 | Grace Garbrecht | Enigma: The math behind The Imitation Game |

Mar 30 | Ann Trenk | Interval Orders: Some old results and some new results |

Apr 6 | Diana Gerr | Fermat's Two Squares Theorem |

Apr 13 | Emily Chen | How Netflix makes movie recommendations |

Apr 27 | Anjali Nagulpally and Molly Hoch | The Collatz Conjecture |

May 4 | Luka Zhang |

Sept 15 | Alexi Block Gorman and Sharon Shiao | Good, Clean Fun with Matrices: The Nicest Sounding Properties You'll Ever Meet |

Sept 22 | Prof. Andrew Schultz | Putnam problem session |

Oct 6 | Bridget Schrenier | Hash functions |

Oct 20 | Summer research programs panel | |

Oct 27 | Angelu Gu | RSA Cryptosystem |

Nov 3 | Spring course preview lunch | |

Nov 10 | Snow Zhang | The Diagonalization Theorem and Undecidability |

Nov 17 | Lulu Ye | Quantifying quality: Ranking ultimate frisbee teams |

Dec 1 | Nancy Zhang | Stochastic Branching Processes |

Dec 8 | Emily Kurtz | Graphs and Gray codes |

Date | Speaker | Title of Talk |

February 10 | Mavis Boamah | Optimization and Simulated Annealing |

February 24 | Bridget Schreiner | Zero Knowledge Proofs |

Match 10 | Phyllis Ju | Some Applications of Mathematics to Physics |

April 14 | Alex Diesl | The Mathematics of Voting |

April 28 | Michelle Lam | Mortensen-Pissarides: A Matching Model for Unemployment |

May 5 | Maria Tilden | Approximating Irrational Numbers with Rations |

Date | Speaker | Title of Talk |

September 16 | Anjali Kayal | Visualizing Math: Graphical Representations of Algebraic Objects |

September 23 | Prof. Yulan Qing | Pi and Bouncing Pigs |

September 30 | Laura Bruno | School's in Session: The Locker Problem |

October 21 | Alexi Block Gorman | The p-adic Numbers: An Introduction (NOT Your Usual Absolute Value) |

November 4 | Diana Schron | Fashionable Geometry: Thurston's Geometrization Conjecture |

November 11 | Kaity Schwartz | Mathematical Art: Symmetry Groups |

November 25 | Wendy Wu | The Math Behind Google PageRank |

December 9 | Juliette Chevallier, Anjali Kayal, Abigail Raz, Smaranda Sandu, Farrah Yhee | Mathematics Experiences Outside the Major (and minor and coursework) |

Date | Speaker | Title of Talk |

February 25 | Gabriella DeFosse | Cracking Quantum Codes |

March 4 | Kia Salehi | Paradoxes at Infinity |

April 1 | Gerta Malaj | Roses are Red, OLS is Blue |

April 8 | Nuha Kahn and Tori Lockwood | Welcome to Catalonia - The Land of Recursive, Bijective and Combinatorial Proofs |

April 22 | Aliya Nurani | Defining the Determinant |

April 29 | Raissa D'Antwi and Marjorie Kasten | Plan Your Next Party: Ramsey Style |

Date | Speaker | Title of Talk |

September 17 | Prof. Karen Lange | Finding Order in the Unknown: The Erdos-Szekeres Theorem. |

September 24 | Erica Dohring | How Mathematics Can Sink Submarines (and win wars) |

October 1 | Rachel Insoft | Mind the Gap! An investigation of gaps in Linear Recurrences |

October 15 | Farrah Yhee | Knot Projections with a Single Multi-crossing |

October 22 | Zoe Jansen | Topology of the Cantor Set |

November 5 | Various students | Research and More; Math Experiences Panel |

November 12 | Elise Dong | Network Simplex Algorithm for Minimum Cost Flows |

November 25 | Caroline Psutka | Pick's Theorem and its Applications |

December 3 | Sachi Shah | Graph Traversal Techniques |

January 30 | Prof. Andrew Schultz | Polynomial Generalizations of binomial coefficients |

February 6 | Erica Dohring | Applications of Operations Research in Physical Oceanography |

February 13 | Melinda Lanius and Joy Das | Putnam 2011 solutions |

February 27 | Stephanie Welch | Exploring Incompressibility: What makes a number random? |

March 5 | Caroline Parnass, Laura Liu | Putnam 2011 Solutions, Part II |

March 12 | Ginny DeviChou | Cardinality and the Continuum Hypothesis |

March 26 | Michelle Park | Derivation of Van der Waals |

April 2 | Laura Liu | Optimization through Linear Programming |

April 9 | Ran Ji | Super Awesome Stuff: Linear Forms Over Finite Abelian Groups |

September 12 Prof. Oscar Fernandez Hamiltonizing Nonholonomic Mechanical Systems September 19 Melinda Lanius Universal cycles for unordered combinatorial objects September 26 Cornelia Mihaila Multidimensional continued fractions October 17 Divya Gopinath Combinatorics and the generalized Fibonacci numbers October 24 Naomi Takaki The Special Theory of Relativity October 31 Prof. Karen Lange Finding Paths through Trees November 7 Kristen Chun A derivation of the Michaelis-Menten equation November 14 Various Students Panel on summer math programs November 28 Mimi Moncada The Peano Curve December 5 Kristin Liska Game theory and the Nash equilibrium

January 31 Jonathan Tannenhauser Computing $\pi$ with Colliding Balls February 7 Various students Solutions to the 2010 Putnam Exam February 14 Alex Gendreau Exploring the Needleman-Wunsch Algorithm

and the Polytope Propagation AlgorithmFebruary 22 Various students Solutions to the 2010 Putnam Exam, Part II February 28 Andrew Schultz Math Origami Workshop March 7 Liz Ferme Disrupting Terrorist Networks March 14 No seminar! March 28 Katelin Snow Group Theory and Chemistry: Molecular Symmetry and its applications April 4 Kelly Walters Restricted Partition Functions of Integers April 11 Josh Jordan Math for fun and profit at athenahealth April 19 Gabriela Perez Villalobos Eulerian numbers April 25 Amanda Curtis and Jane Rieck Visualizing Arithmetic

September 13 Andrew Schultz, faculty An irrational quest September 20 Amanda Curtis '11 Minimal surfaces and planar harmonic mappings September 27 Melinda Lanius '12 Explorations in Tessellations October 4 Brian Munson, faculty Minimizing distances using flux October 12 Various students Panel on summer math programs October 18 Cornelia Mihaila '12 Existence of Solutions to the Modified Sylvester Equation October 25 Maddy Prenner '11 Cryptanalysis of STR-KAP November 1 Nora Evans '11 Google Page Rank Algorithm November 8 Anthea Cheung '12 Euler Characteristic and the Platonic Solids November 15 Tanen Clark '11 and

Rebecca Graber '11To Infinity and Beyond: Constructing the Real Projective Plane November 29 Jane Rieck '11 Computability Theory

February 5 Megan Kerr, faculty Straightedge and compass constructions February 19 Lisa Abraham '10 and Geraldine Ng '10 Mathematics and Finance March 12 Margarita Miranda '10 The Poincare Conjecture March 19 Caitlin Danis '10 and Cecilia Flatley '10 Mathematics and Juggling April 13 Zoe Xiao '10 Continued Fractions April 16 Lisa Yang '10 TBD April 23 Kate Donahue '12 TBD April 30 Amanda Curtis '11 TBD

September 21 Jizhou Wang '10 Markov chains October 5 Alex Gendreau '12 Directed strongly regular graphs October 19 Professor Alex Diesl Perfect numbers October 26 Amanda Curtis '11 Quotients of polynomial rings November 2 Margaret Ma '10 Sphere packing November 9 Kelly Pendergast and Vanessa Zhang Fractals November 16 Anna Loparev Automata theory November 23 cancelled cancelled November 30 Soumya Srinagesh '10 TBD December 7 Katie Poon '10 and Sue He '10 TBD

February 9 Stanley Chang, Professor Markov chains February 23 Caitlin Leverson '10 Delta Sets of Numerical Monoids March 2 Bridget Tenner Combinatorics and tilings March 9 Erika Kahn '09 Topics in Cantorian Set Theory March 16 Steph Xiang '09 and Katie Sang '09 The Golden Ratio March 30 Swini Garimella '09 The Busy Beaver Function April 6 Subin Park '11 The Square Pyramid Puzzle April 13 Hae Jin Chang '10 Magic Squares April 21 Sha Lu '10 Network Optimization April 27 Amanda Curtis '11 Bernoulli Numbers May 4 Jaree Pinthong '09 & Lin Xu '09 #### Shortest Path Algorithms

September 8 Ismar Volic, Professor Some convergence of series proofs September 15 Stanley Chang, Professor Famous unsolved problems in mathematics September 22 Ashley Hartman '09 Applications of game theory September 29 Voula Collins '09 The Euler characteristic October 6 Natalya Kopyra '09 The Josephus problem October 20 Ghassan Sarkis (Pomona) p-adics: a primer October 27 Bianca Thompson '09 The axiom of choice November 3 Amanda Curtis '11 Hyperbolic space November 10 Jen Pawson '09 Fibonacci numbers: an unexpected result November 17 Andrea Johnston '09 Integer programming and chemistry December 1 Kate Sorenson '09 & Kristin Jochems '09 #### RSA cryptosystems

February 4 Ismar Volic, Professor An introduction to knots, Part I Februrary 11 Ismar Volic, Professor An introduction to knots, Part II February 25 Katie Kinnaird '08 Random walks and tissue engineering March 3 Stanley Chang, Professor Classification of closed surfaces March 10 Sarah LaFrance '08 Conway's game of life March 17 Amanda Curtis '11 Linear algebra, disease spread and DNA March 31 Caitlin Leverson '10 & Fran Zeller '10 Pseudorandomness in primes April 7 Caitlin Leverson '10 & Fran Zeller '10 Primes in arithmetic progression April 22 Caitlin Vaccaro '08 On lambda-permutations of infinite series April 28 Voula Collins '09 An order to the Baumslag-Solitar groups May 5 Rebecca Rothkopf '09 Mathematics of computer vision