- Programs
- MASS Colloquia
- Fibonacci or not? New and old research on phyllotaxis
Christophe Golé, Smith College
- How to count spanning trees
Anton Petrunin, Penn State
- The Man Who Knew Infinity: the Movie, the Man, and the Mathematics
George Andrews, Penn State
- Diving into the three-body problem
Richard Montgomery, UC Santa Cruz
- Tricks and methods in search for integrable systems
Vladimir Matveev, Friedrich-Schiller-University, Jena, Germany
- How to pick a random matrix?
Igor Rivin, Temple University
- On the large-scale description of periodic structures, using only elementary topology and analysis
Dmitry Burago, Penn State
- Number theory, dynamical systems and Benford's law
Gil Bor, CIMAT, Mexico
- Cyclic competition, evolutionary games, and escaping extinction
Andrew Belmonte, Penn State
- On Monoids and McNuggets
Scott Chapman, Sam Houston State University
You Think You Know the Pythagorean Theorem? Think Again!
Robert Foote, Wabash CollegeKnowing When to Stop
Theodre Hill, Georgia Institute of TechnologyPartitions, Compositions, and the Excitement of Ramanujan
George Andrews, Penn StateThe length and width of space curves
Mohammad Ghomi, Georgia Institute of TechnologyBilliard table as a mathematician’s playground
Anatole Katok, Penn StateIdentities
Bruce Berndt, University of Illinois Urbana-ChampaignSolving polynomial congruences
Dmitry Fuchs, University of California, DavisHistory of the soliton
Ronald Perline, Drexel UniversityVisual mathematics: From graph partitioning to cellular automata and fair allocation
Yuval Peres, Microsoft ResearchRoots through history
Norbert Schappacher, University of Strasbourg, Francex^n + x + a
Kumar Murty, University of TorontoTwo revealing programs
Richard Schwartz , Brown University
A tour of Pritchard Lab
Diane Henderson, Penn StateCongruences for Fishburn Numbers
James Sellers, Penn StateReal enumeration problems
Oleg Viro, Stony Brook UniversityRectangling the square
Aaron Abrams, Washington and Lee UniversityRecurrences for Eisenstein series
Larry Rolen, Penn StateMono-monostatic bodies: the story of the Gömböc
Gábor Domokos, Budapest University of Technology and EcomonicsFlavor of Morse Theory
Augustin Banyaga, Penn StateSphere packing in 2.5 dimensions
Ken Stephenson, University of TennesseeMechanisms of Chaos
Leonid Bunimovich, Georgia Institute of TechnologyLatin squares
Gary Mullen, Penn StateThe mathematics of internet search
Gil Bor, Centro de Investigación en Matemáticas, Mexico
Ramanujan, Fibonacci numbers, and Continued Fractions or Why I Took Zeckendorf's Theorem Along On My Last Trip To Canada
George Andrews, Penn State UniversityIntroduction to Entropy
Yuri Suhov, Penn State / University of Cambridge, UKCommutative implies associative?
John Roe, Penn State UniversityThe William Pritchard Fluid Mechanics Laboratory
Vishal Vasan, Penn State UniversityStimulus space geometry and topology from neural activity
Carina Curto, Penn State UniversityRamsey Theory and Dynamics
Vitaly Bergelson, Ohio State UniversityEvolution of resistance to white pine blister rust in high-elevation pines
Simon Tavener, Colorado State UniversityRandom walks: simple and self-avoiding
Greg Lawler, University of ChicagoSolutions to polynomials in two variables
Thomas Tucker, University of RochesterLengthening the edges of a tetrahedron
Richard Schwartz, Brown UniversityPDE models of traffic flow
Alberto Bressan, Penn State University
Mathematics through physics
Mark Levi, Penn State UniversitySome applications of geometry to problems in biology
Joel Hass, UC DavisCounting collisions in hard ball gas models and singular geometry of non-positive curvature
Dmitri Burago, Penn State UniversityFrom flapping birds to space telescopes: the mathematics of origami
Robert Lang, Alamo, CAThe William Pritchard Fluid Mechanics Laboratory
Diane Henderson, Penn State UniversityAbout the numbers 12 and 24
Roger Howe, Yale UniversityKirkwood gaps and instability for three body problems
Vadim Kaloshin, University of MarylandPaul Erdos - one of the most influential mathematicians of our times
Krishnaswami Alladi, University of FloridaAdding and counting
Ken Ono, Emory UniversityRamanujan
Ken Ono, N/AMating habits of polynomials
Sarah Koch, University of MichiganWe vote, but do we get what we want?
Don Saari, UC Irvine
Manhole Covers and Convex Geometry
Tanya Khovanova, Massachusetts Institute of TechnologyMarkov equation and the most irrational numbers
Alexander Veselov, Loughborough University, UK5-dimensional geometry is not like 2-dimensional geometry (and 3 and 4 are somewhere in between)
Mark Meckes, Case Western Reserve UniversityDonald Coxeter: tales of mystery and imagination
Valentin Ovsienko, University of LyonA new approach to CRC processing
Donald Newhart, NSAOn the use of computers in Mathematics and Science: the good, the bad, and what we should do about them
Sheldon Newhouse, Michigan State UniversityNumber of collisions of n balls on the infinite billiard table after Burago-Ferleger-Kononenko.
Anton Petrunin, Penn StateMathematical Puzzles that S-t-r-e-t-c-h Your Intuition
Peter Winkler, Dartmouth CollegeSome polynomial dynamics systems
Alice Medvedev, UC BerkeleySeeing Invisible: Mathematics of Medical Imaging
Peter Kuchment, Texas A&M UniversityA short look at the long history of the lemniscate of Bernoulli
Joel Langer, Case Western Reserve University
Patterns of curves in the plane and piecewise translations
Pat Hooper, CUNYVisual Differential Geometry and the Hyperbolic Plane
Tristan Needham, University of San FranciscoCombinatorics of Total Positivity
Michael Gekhtman, Notre DameCutting a square into triangles
Aaron Abrams, MSRI/Emory UniversityThe Real, Complete Story of Conics
Frank Sottile, Texas A&MGeometry and analysis on fractals
Alexandre Kirillov, University of Pennsylvania“The more things change...”
Chaim Goodman-Strauss, University of ArkansasThe Lost Notebook of Srinivasa Ramanujan
George Andrews, Penn StateTrigonometric identities and the Weyl character formula
Charles Conley, University of North Texas
Hard disks in a box: topology and complexity
Yu. Baryshnikov, Bell LabsSymmetry, regular solids and quantum field theory
Adrian Ocneanu, Penn StateThe rental harmony theorem
David Futer, Temple UniversityTilings with rational polygons
Richard Kenyon, Brown UniversityAmenability of the Thompson group $ and some elementary properties of ^n$
Marl Sapir, Vanderbilt UniversityBehind the Hofstadter's butterfly: the competition between order and chaos
Svetllana Jitomirskaya, University of California IrvineSymmetry: From Triangles to Quantum Physics
Kenneth Gross, University of VermontSome reflections on mirrors
Ron Perline, Drexel UniversityOuter Billiards, Polytope Exchange Maps, and Renormalization
Richard Schwartz, Brown UniversityCapillary surfaces
Robert Finn, Stanford UnivrsityAlexandrov's theorem on development of polyhedron
A. Petrunin, Penn State
Tropical geometry
Ilia Itenberg, University of Strasbourg and MSRIUsing elliptic and hyperelliptic curves in pairing-based cryptography
Kirsten Eisentraeger, Penn StateAn Invitation to Minimal Surfaces
Matthias Weber, Indiana UniversityDiscovering and proving theorems by physical reasoning
Mark Levi, Penn StateMinimal surfaces in sub-Riemannian geometry
Luca Capogna, University of Arkansas[0,1] is not a minimality detector of [0,1]^2
Jon Chaika, N/AEverything you wanted to know about 2x2 matrices
Svetlana Katok, Penn StateTopological Network Topology
Robert Ghrist, University of PennsylvaniaTopology and Social Choice
S. Weinberger, University of ChocagoTwo problems in combinatorial plane geometry
Anton Petrunin, Penn StateBraid groups and their applications
Frederick Cohen, University of Rochester
Theory of Dynamical Systems on service to Number Theory
A. Gogolev, Penn StateThe four vertex property and topology of surfaces with constant curvature
M. Ghomi, Georgia TechHigher dimensional solutions to low dimensional problems
K. Stolarsky, University of IllinoisThe Devil's Pentagram
R. Schwartz, Brown UniversityFundamental solutions of differential operators and D-module theory
F. Malikov, University of Southern CaliforniaIntroduction to Hypergeometric Functions
V. Retakh, Rutgers UniversityDNA Topology
De Witt Sumners, Florida State UniversityThe discrete square peg problem
I. Pak, University of MinnesotaCantor and Sierpinski, Julia and Fatou: Crazy Topology in Complex Dynamics
R. Devaney, Boston UniversityHow to Tie Your Unicycle in Knots: An Introduction to Legendrian Knot Theory
Josh Sabloff, Haverford College
Toy modeling
Tadashi Tokieda, University of Cambridge, N/AAnalysis, Geometry and Arithmetics of fractals
Alexadre Kirillov, University of Pennsylvania, N/APlaying zero-sum games and convex geometry after John Nash
Dmitry Burago, Penn State, N/AGeometry of Polyhedra
Igor Rivin, Temple University, N/APhysical proofs of mathematical theorems
Mark Levi, Penn State, N/AWhat does the future hold for restricted patterns?
Zvezdelina Stankova, Mills College, N/AFrom the Fundamental Theorem of Algebra to astrophysics: a "harmonious" journey
Dmitry Khavinson, University of South Florida, N/ACan understanding cancer be translated into effective anticancer therapy?
Andrei Gudkov, Roswell Park Cancer Institute, Buffalo, NY, N/AHilbert's Tenth over Subrings of Q
Alexandra Shlapentokh, East Carolina University, N/AA Glimpse of Several Complex Variables
Steven Krantz, American Institute of Mathematics, N/AInverse problems in Arithmetic Combinatorics
Alexander Razborov, Institute for Advanced Study, N/A
- "Uniform Distribution: from Diophantine approximations to ergodic theorems"
Vitaly Bergelson, Ohio State University
- "Virtual links and ribbon graphs"
Sergei Chmutov, Ohio State University
- "Packing discs in the plane"
Ronald Graham, University of California, San Diego
- Noncrossing partitions, meanders, and the fundamental theorem of algebra
David Savitt, University of Arizona
- Direct methods in the calculus of variations
Paul Rabinowitz, University of Wisconsin
- Classification of Legendrian Knots and Links
Lisa Traynor, Bryn Mawr College
- Bending polyhedra
Yuri Burago, Steklov Institute (St. Petersburg, Russia)
- The Integral Octonions (That Funny Number System)
Derek Smith, Lafayette College
- Topology of algebraic curves and surfaces (Hilbert's 16th problem and beyond)
Nikita Netsvetaev, St. Petersburg University (St. Petersburg, Russia)
- "Gravity-defying phenomena"
Mark Levi, Penn State University
- "How old was Diophantus's son?"
Don Zagier, MPI-Bonn & College de France
- "Bugs, Blobs and Roto-Routers"
James Propp, University of Wisconsin, Madison
- "Schwarzian derivative, projectivity and some applications to rigidity"
Chengbo Yue, Academy of Mathematical and System Sciences, Chinese Academy of Sciences
- "Mathematics of symmetry in 4 dimensions - a sculpture"
Adrian Ocneanu, Penn State University
- "New Solutions to the N-body problem"
Richard Montgomery, University of California, Santa Cruz
- "How many prime factors does a number have?"
Krishnaswami Alladi, University of Florida
- "Venn Diagrams and Symmetric Chain Decompositions"
Carla Savage, North Carolina State University
- "Knots, Tangles, DNA and Quantum Physics"
Louis Kauffman, University of Illinois at Chicago
- "Different facets of linking numbers"
Boris Khesin, University of Toronto
- "Riemann Mapping Theorem via steepest descent"
Mark Levi, Penn State University
- "Volume and area formulas"
Robert Connelly, Cornell University
- "The dynamics of thin flexible things: shaking and breaking"
Andrew Belmonte, Pennsylvania State University
- "Spontaneous symmetry breaking in a 1-D process with variable length"
Andre Toom, Universidade Federal de Pernambuco, Brazil
- "What does the limit shape mean in geometry and combinatorics?"
Anatoly Vershik, St. Petersburg State University and Steklov Institute
- "How many roots does a matrix polynomial equation have?"
Vladimir Retakh, Rutgers University
- "The dynamics and geometry of microscopic structures in piecewise rotations"
Aroek Goetz, San Francisco State University
- "Experiments with triangular billiards"
Richard Schwartz, University of Maryland
- "Polynomials and Knots"
Walter Neumann, Columbia University
- "On the filtering problem of stationary processes"
Mariusz Lemanczyk, Nicholas Copernicus University, Torun, Poland
- "Is it possible to cut a tetrahedron into pieces and to assemble a cube? (Hilbert's 3rd Problem)"
by Dmitry Fuchs, University of California at Davis
- "The Geometry of Spiral Circle Packings"
by Kenneth Stephenson, University of Tennessee
- "Double bubbles"
by Frank Morgan, Williams College
- "The SIAM 100 Digit Challenge: Adventures in Numerical Computing"
by Stanley Wagon, Macalester College
- "Braids, graphs, and robots"
by Aaron Abrams, University of Georgia
- "Irrationality measures using integration by parts"
by Krishna Alladi, University of Florida
- "Pascal Triangles in Modular Arithmetic, Entropy and Algebraic Functions"
by Hillel Furstenberg, Yale University and Hebrew University of Jerusalem
- "Fermionic Integration"
by A. Vaintrob, University of Oregon
- "Laurent phenomenon"
by Andrei Zelevinsky, Northeastern University
- "Topological problems in combinatorics"
by Robin Forman, Rice University
- "On projective duality"
by Serge Lvovski, Independent University of Moscow
- "Asymptotic lines and the Griffiths-Harris rigidity of compact Hermitian symmetric spaces"
by Joseph Landsberg, Georgia Institute of Technology
- "The exponential in mathematics and physics"
by Adrian Ocneanu, Penn State University
- "Impossible Crystals"
by Roger Penrose, Oxford University and Penn State University
- "Some connections between combinatorics, group theory, topology and computer science"
by Mark Sapir, Vanderbilt University
- "The Nash Equilibrium"
by Mikhail Shubin, Northeastern University
- "Iterated exponentials"
by J. Anderson, Penn State University
- "Enumerative geometry"
by Mira Bernstein, Wellesley
- "Family Algebras."
by Alexandre Kirillov, University of Pennsylvania.
- "Integral Lexicographic Codes"
by John Conway, Princeton University
- "Klein's Erlanger Programme"
by Augustin Banyaga, Penn State University
- "Virasoro group and projective structures on the circle: a hidden face of an old coin"
by V. Ovsienko, CNRS, Centre of Theoretical Physics, Luminy, France
- "Vector Calculus and the Topology of Domains in 3-space"
by Herman Gluck, University of Pennsylvania
- "Minimal surfaces, discrete harmonic analysis, and random walks"
by Alexei Sossinsky, Independent University of Moscow
- "Physical proofs of mathematical theorems"
by Mark Levi, Penn State University
- "One hundred years of Hilbert's fourth problem"
by Juan Carlos Alvarez, New York Polytechnic University
- "Loops in R3: New Angles on an Old Topic"
by Bruce Solomon, Indiana University
- "Knotted Flowlines"
by Robert Ghrist, Georgia Tech
- "EULER, JACOBI, RAMANUJAN: Interesting Formulae, Beautiful Results and Some Recent Variations."
by Irwin Kra, State University of New York at Stony Brook
- "Aperiodic Tilings and Computation in the Hyperbolic Plane."
by Chaim Goodman-Strauss, Princeton University
- "Search Engines and Measurements on the Modular Group."
by Leonid Polterovich, Tel Aviv University
- "Internet Search and Markov Chains."
by Michael Brin, University of Maryland
- "The Peano Kernel: Convolving Abstract and Applied Mathematics."
by Michael Gage, University of Rochester
- "Flexible Polyhedra"
by Dmitry Fuchs, University of California at Davis
- "The Story of the Rogers-Ramanujan Identitites"
by G. Andrews, Penn State University
- "The Future of Mathematics"
by Doron Zeilberger, Temple University
- "The Meaning of Chaos"
by Greg Swiatek, Penn State
- "When Do Polynomials Have Common Zeros?"
by Dale Brownawell, Penn State
- "Knots and Knot Invariants"
by Arkady Vaintrob, University of New Mexico
- "Hilbert's 16th Problem Near Its Centenary"
by Yulij Ilyashenko, Cornell
- "Replicating Tiles"
by Viorel Nitica, Notre Dame
- "Nightmares and Dreams of Lyapunov: Stability and Semigroups"
by Yuri Latushkin, University of Missouri
- "On the Hilbert-Smith Conjecture"
by Alexander Dranishnikov, Penn State
- "The DNA Geometric Inequality: An Open-ended Story"
by Serge Tabachnikov, University of Arkansas
- "The Banach-Tarski Paradox and Amenable Groups"
by Misha Guysinsky, Tufts University
- "Group Reconstruction"
by Conrad Plaut, University of Tennessee
- "Rational numbers, right triangles, and elliptic curves"
by Karl Rubin, Stanford University
- "Bicycle wheels, Gauss-Bonnet formula and Berry's phase"
by Mark Levi, Penn State University
- "Why representation theory is interesting and useful?"
by Alexandre Kirillov, University of Pennsylvania
- "Playing pool with pi"
by Gregory Galperin, Eastern Illinois University
- "The Life and Work of India's Greatest Mathematician Srinivasa Ramanujan"
by Bruce Berndt, University of Illinois
- "Mathematics of Fractal Images"
by Yakov Pesin, Penn State University
- "An Introduction to K-theory"
by Paul Baum, Penn State University
- "Arithmetic Curves and Triangulations"
by Fedor Bogomolov, Courant Institute
- "Social Life of Curves"
by Simon Gindikin, Rutgers University
