Seminars
Graduate Colloquium
Talks presented by students are marked by *.
2015-2016
May 27 | Natasha Dobrinen An almost topological Ramsey space of strong triangle-free trees and applications to the universal triangle-free graph |
May 20 | Mathai Varghese (University of Adelaide) Atiyah-Singer index theory, fractional variant and applications |
May 13 | Drew Ash^{*}
My 7-Year Journey to Temporary Employment |
May 6 | Drew Ash^{*}
Topological speedups (PhD defense) |
Apr 29 | Stan Gudder Discrete Scalar Quantum Field Theory |
Apr 22 | Kirk Boyer^{*}
Combinatorics and Geometry in Ray Sensor Networks |
Apr 15 | Wesley Fussner^{*} and Allegra Reiber Adventures in Inquiry and Self-Regulated Learning |
Apr 1 | Nishant Chandgotia (Brown University) Distance between walks on graphs |
Feb 18 | Thomas French^{*}
Follower, Predecessor, and Extender Set Sequences of One-Dimensional Shifts |
Jan 22 | Geraldo de Souza (Auburn University) Lipschitz Spaces, Generalized Lipschitz Spaces, and their importance in analysis |
Jan 15 | Paul Horn Designing designs: Keevash's proof of the Existence Conjecture |
Nov 13 | Aysel Erey Counting restrained colorings of graphs |
Nov 6 | Dan Hathaway Introduction to cardinal characteristics |
Oct 30 | Sergio Lopez-Permouth (Ohio University) Algebras having bases that consist solely of units |
Oct 23 | Stephen Hartke (CU Denver) Computational Combinatorics: Uniquely K_r-saturated Graphs |
Oct 9 | Ana Mamatelashvili (Auburn University) Tukey ordering and subsets of ω1 |
Oct 2 | Diane Ojeda (University of Toronto) Structural Ramsey Theory |
Sep 25 | Math faculty Advice to grad students: Building your portfolio and finding a job |
2014-2015
May 29 | Ghodratollah Aalipour (Kharazmi University, Iran) Laplacian eigenvalues of graphs and simplicial complexes |
May 22 | Riquelmi Cardona^{*}
The Finite Embeddability Property for some Noncommutative knotted varieties of RL and DRL |
May 15 | Ed Bueler (University of Alaska, Fairbanks) Mathematical tools and obstacles in models of ice sheets |
May 8 | Mark Greer (University of North Alabama) Moufang semidirect products of loops with groups and inverse property extensions |
May 1 | Phil DeOrsey^{*} (CU Denver) A Classification of Hyperfocused 12-arcs |
Apr 24 | Lauren Irby^{*}
A Quick Look at Women in Mathematics |
Apr 17 | Jeff Boersema (Seattle University) Real C*-algebras and real structures in graph C*-algebras |
Apr 3 | Michael Kinyon Automated Deduction and Algebra |
Mar 27 | Allegra Reiber Metacognition, Collaboration, and Inquiry to support self-enabled learning in mathematics |
Mar 6 | Nate Eldredge (University of Northern Colorado) Geometry and probability on sub-Riemannian manifolds: taking the scenic route |
Feb 27 | Ronnie Pavlov An introduction to the theory of percolation |
Feb 13 | Paul Horn One day in May |
Feb 6 | Stan Gudder The Universe According to Gudder |
Jan 30 | Konrad Aguilar^{*}
Twisted SU(2) and Noncommutative Metric Geometry |
Jan 23 | Lori Alvin Low Dimensional Dynamics: Unimodal Maps and the Quest for Homeomorphisms |
Nov 14 | Mei Yin A gentle introduction to exponential random graphs |
Nov 7 | Adam Purcilly^{*}
Disjunctive Rado Numbers for Two Equations of Different Forms |
Oct 31 | Natasha Dobrinen Rainbow Ramsey theorems for bounded colorings of finite subgraphs of the Rado graph |
Oct 24 | Florian Pfender (CU Denver) Semidefinite programming in extremal graph theory |
Oct 17 | Drew Ash^{*}
Topological Speedups |
Oct 10 | Kate Pearce^{*}
Where Are All the Women in Mathematics?: A Survey of History's Most Influential Women Mathematicians |
Sep 26 | Stan Gudder Simple Problems, Surprising Solutions |
2013-2014
May 30 | Gabor Lippner (Harvard University) Measurable graph theory |
May 23 | Sheila Miller (New York City College of Technology) Critical sequences of rank-to-rank embeddings and a tower of finite left distributive algebras |
May 16 | Gavin St. John ^{*}Goedel's theorems |
May 9 | Timothy Trujillo ^{*}Thesis Defense: Topological Ramsey spaces, associated ultrafilters, and their applications to the Tukey theory of ultrafilters and Dedekind cuts of nonstandard arithmetic |
May 2 | Stan Gudder The Universe According to Gudder |
Apr 25 | Andy Linshaw The chiral de Rham complex |
Apr 18 | Gabriel Giron ^{*}Tsirelson Type Spaces |
Apr 11 | Lauren Morey ^{*}Integral enumeration formulas |
Apr 4 | Natasha Dobrinen Introductory overview of the Tukey theory of ultrafilters |
Feb 28 | Drew Ash ^{*}D-Simplices of Minimal Cantor Systems |
Feb 21 | Nathan McNew ^{*}Things you can prove with a degree from DU, two results in number theory |
Feb 14 | Tim Trujillo ^{*}Ramsey for R1 Ultrafilters and Their Dedekind Cuts: II |
Feb 7 | Florian Sobieczky The Newsboy Problem |
Jan 31 | Riqulemi Cardona ^{*}The Finite Embeddability Property for Noncommutative Knotted Extensions of RL |
Jan 24 | George Herrmann ^{*}Lipschitz Seminorms toward Quantum Metric Spaces |
Nov 8 | Alvaro Arias The Ramsey Theorem in Banach Spaces |
Oct 18 | Paul Horn Probabilistic combinatorics and spectral graph theory: (not so) strange bedfellows |
Oct 11 | Thomas French *Sequences of Minimal Complexity |
Oct 4 | Adriana Suarez Provable Security for Key Establishment Protocols |
Sep 27 | Lori Alvin Adding machines and Low Dimensional Dynamics |
Sep 20 | Jose Mijares On topological Ramsey spaces |
2012-2013
May 17 | Timothy Trujillo ^{*} Diamonds as initial structures in the Tukey hierarchy of p-points |
May 10 | Mark Greer ^{*} PhD Defense, Loops and their permutation groups |
Apr 26 | Rick Kitchen Interactive assessment of teaching and learning |
Apr 12 | Andreas Blass (Michigan) Abelian groups that want to be free |
Mar 29 | Jonathan D. H. Smith (Iowa State) Beyond groups |
Mar 8 | Frank Schroeck The axioms of quantum mechanics |
Nov 9 | Stan Gudder Probability problems |
Nov 2 | Tim Trujillo ^{*} Higher Dimensional Ramsey Theory |
Oct 26 | Florian Sobieczky The blind ant and the myopic ant in the labyrinth |
Oct 19 | Alvaro Arias Operator algebras |
Oct 12 | Ronnie Pavlov Undecidability and computability in symbolic dynamics |
Oct 5 | Zhe Liu An introduction to operator algebras, unbounded operators, and their relations to physics |
Sep 21 | Dennis Pace ^{*} Axiom of Choice: Equivalences and Applications |
2011-2012
May 17 | Christian Westhof ^{*} The Arrival of the Truth Table |
May 4 | David Ellerman (University of California at Riverside) Interpreting Quantum Mechanics: The Objective Indistinctness Vision of Quantum Reality Based on the Logic of Partitions |
Apr 27 | Mark Greer ^{*} Sylow Theory for Commutative Automorphic Loops |
Apr 20 | Drew Ash ^{*} Ergodic and Weak-Mixing Transformations |
Apr 13 | Jimmy Thorne ^{*} A better integral |
Apr 6 | Rick Ball Truncated vector lattices |
Mar 9 | Timothy Trujillo ^{*} The Topological Ramsey Space H^2 |
Mar 2 | George Herrmann ^{*} Sequence, Nets and Moore-Smith Convergence |
Feb 10 | Thomas French ^{*} Spatial Voting Theory as a Predictive Model for Elections |
Jan 20 | Natasha Dobrinen The Ellentuck space and Ramsey ultrafilters |
Nov 11 | Drew Ash ^{*} A word on Sarkovskii's Theorem |
Nov 4 | Timothy Trujillo ^{*} Ultraproducts and Nonstandard Models of Arithmetic |
Oct 28 | Stan Gudder Quantum probability theory |
Oct 21 | Alvaro Arias Continuous and non-continuous linear maps in norm spaces and Banach spaces |
Sep 30 | Jerry Lodder (New Mexico State) Teaching Mathematics from Historical Sources |
Sep 23 | Sean Cox (Muenster, Germany) The Tree Property and elementary embeddings |
Sep 16 | Natasha Dobrinen Some notions in set theory |
2010-2011
May 20 | Yaodong Xiang ^{*} An introduction to Black-Scholes equation |
May 6 | Jeff Farmer Why math is real: Three short stories |
Apr 29 | Kyle Pula ^{*} Approximate transversals of latin squares (PhD defense) |
Apr 22 | Mark Greer ^{*} Some varities of dissociative loops - structures and constructions |
Apr 15 | Nawal Alznad ^{*} T-uniformly continuous functions on a flow |
Apr 1 | Frederic Latremoliere Irreducible covariant representations of automorphic actions of finite groups on C ^{*}-algebras |
Mar 25 | Gabriel Giron-Garnica ^{*} Dynkin pi-lambda theorem |
Mar 11 | Andrew Linshaw (Darmstadt Technical University, Germany) Introduction to vertex algebras and some connections with classical invariant theory |
Feb 11 | Jan Mycielski (CU Boulder) Set theory and Learning theory |
Feb 4 | Natasha Dobrinen An overview of set theory |
Jan 28 | Nic Ormes Self-inducing minimal Cantor systems |
Jan 21 | Petr Vojtechovsky A mathematical result is born! |
Nov 14 | Timothy Trujillo ^{*} Ultrafilter mappings and their Dedekind cuts |
Nov 5 | Nichole Carlson (University of Colorado Denver) Opportunities in biostatistics |
Oct 29 | Jeff Farmer Where counting comes from: Developments in research on early mathematics learning |
Oct 22 | Michael Kinyon A gentle introduction to nonassociativity |
Oct 15 | Bart Kastermans (University of Colorado Boulder) (Maximal) Cofinitary Groups |
Oct 8 | Ronnie Pavlov Shifts of finite type and entropy in one and two dimensions |
Oct 1 | Kyle Pula ^{*} Large partial transversals of small latin squares |
Sep 24 | Daniel Van Der Vieren The Rubik's cube as a Vigenere-transposition cryptosystem |
Sep 17 | Natasha Dobrinen Introduction to Ramsey theory |
2009-2010
May 27 | Sheila Miller (US Military Academy, West Point) Free left distributive algebras |
May 14 | Nathan McNew ^{*} Efficient realization of nonzero spectra by polynomial matrices |
May 7 | Brett Werner ^{*} Strong orbit equivalence and residuality |
Apr 30 | Riquelmi Cardona Fuentes ^{*} On widest empty |
Apr 23 | Stan Gudder Quantum probability theory |
Apr 16 | Rick Ball Reflections on reflections |
Apr 9 | Jim Hagler Bases in Banach spaces |
Apr 2 | Nic Ormes The conjugacy problem for shifts of finite type |
Mar 5 | Petr Vojtechovsky Graphs with large girth and chromatic number |
Feb 19 | Man-Duen Choi (University of Toronto) Non-commutative magic everywhere |
Feb 15 | Andrzej Dudek (Carnegie Mellon University) On generalized Ramsey numbers of Erdos-Rogers and Folkman |
Feb 12 | Marius Ionescu (University of Connecticut) Entropy calculations in fractal dynamical systems |
Feb 8 | Ronnie Pavlov (University of British Columbia) Shifts of finite type and entropy in one and two dimensions |
Feb 5 | Greg Oman (Ohio University) Jonsson modules |
Jan 29 | Alvaro Arias Commutant lifting theorem |
Jan 22 | Ales Drapal (Charles University in Prague, Czech Republic) Quadratic sieve |
Nov 13 | Frederic Latremoliere Compact quantum metric spaces |
Nov 6 | Timothy Trujillo ^{*} Ultrafilters on $\omega$ |
Oct 30 | Michael Kinyon Loops and 3-nets |
Oct 23 | Annette Locke ^{*} Thesis defense |
Oct 16 | Alexander Kechris (California Institute of Technology) The complexity of classification problems in ergodic theory |
Oct 9 | Clifton E. Ealy, Jr. (Western Michigan University) On profinite loops |
Oct 2 | Ales Drapal (Charles University in Prague, Czech Republic) Cryptography: The mathematics and the curriculum |
Sep 25 | Natasha Dobrinen Boolean algebras |
Sep 18 | Katherine Thompson (University of Vienna, Austria) Simple axioms, a labyrinth of universes |
2008-2009
Oct 24-31 | Paul Truman Hopf Algebras In Galois Module Theory |
Oct 17 | Tim Trujillo ^{*} Attractors for Nonlinear Reaction-Diffusion Equations in Unbounded Domains |
Oct 9 | Allegra Reiber K-theory of categories and Bivariant theories II |
Oct 2 | Allegra Reiber K-theory of categories and Bivariant theories I |
Sep 26 | Kyle Pula ^{*} Transversals and their generalizations in Latin squares |
Sep 19 | Dan Daly ^{*} Reduced decompositions, repetitions, and permutation patterns |
2007-2008
May 30 | Nic Ormes Continued fractions |
May 23 | Annette Locke ^{*} The Banach space HT and its characteristics |
May 16 | Jonathan Von Stroh ^{*} Dilations, compressions, and the von Neumann inequality |
May 9 | Dan Daly ^{*} Reduced decompositions with few repetitions and permutation patterns |
May 2 | Yan Mayster ^{*} Minimax approximation of 2D points using step functions |
Apr 25 | Sarah Bailey Frick (Ohio State) Ergodic invariant measures and Limited Scope adic transformations |
Apr 18 | Kyle Pula ^{*} Generalizing the Hall-Paige conjecture |
Apr 11 | Rick Ball Introduction to pointfree topology |
Apr 4 | Watching the movie "Hakase No Aishita Suushiki" ("The Professor and His Beloved Equation") |
Mar 7 | Mark Greer ^{*} Turbo codes |
Feb 29 | Dan Daly ^{*} Connections between reduced decompositions and permutation patterns |
Feb 22 | Brett Werner ^{*} Kakutani equivalence in minimal Cantor systems |
Feb 8 | Aditya Nagrath ^{*} Properties of scattered lattices and the introduction of a meet semilattice duality (thesis defense) |
Feb 1 | Andrew Dykstra (Colorado State) The weak equivalence relation in symbolic dynamics |
Jan 25 | Astrid an Heuf (New South Wales) C-algebras associated to transformation groups |
Jan 18 | Alvaro Arias Introduction to mathematical finance |
Jan 11 | Deb Carney Flatland the movie |
Nov 9 | Jenya Kirshtein ^{*} On the uniqueness of the weight enumerator of a perfect code |
Nov 2 | Nic Ormes Tillings: Symmetric and Asymmetric |
Oct 26 | Michael Kinyon Applications of automated reasoning to problems in quasigroup theory and loop theory |
Oct 19 | Brett Werner ^{*} Entropy of Shifts of Finite Type (SFT) |
Oct 12 | Poonam Singh ^{*} Fixed point theorems in uniform spaces II |
Oct 5 | Poonam Singh ^{*} Fixed point theorems in uniform spaces I |
Sep 28 | Nathan McNew ^{*} Inductive limits of ordered groups and continued fractions |
Sep 21 | Sarah Campbell Inductive limits of groups |
2006-2007
Jun 1 | Dan Daly ^{*} Permutation pattern avoidance |
May 25 | Sarah Law 3Sum Hard Problems |
May 11 | Brett Werner Substitution Systems (and their Entropy) to Bratteli Diagrams |
May 4 | Jeff Farmer (Northern Colorado) What does a mathematician bring to teacher education? |
Apr 13 | Jenya Kirshtein ^{*} Finite-difference solutions of the problem of biphase filtration in the porous medium |
Apr 6 | Aditya Nagrath ^{*} The Jordan-Holder chain condition for semimodular lattices |
Mar 9 | Shawn O?Donoghue ^{*} The Weierstrass approximation theorem |
Mar 2 | Brett Werner ^{*} Bratteli diagrams and ordered groups |
Feb 23 | Sarah Law ^{*} The ellipsoid method |
Feb 16 | Petr Vojtechovsky Combinatorial problems as dynamical systems |
Jan 19 | Kyle Pula ^{*} Gallai multigraphs |
Jan 12 | Teiko Heinonen (Turku, Finland) Approximately repeatable measurements |
Nov 17 | Petr Vojtechovsky Codes of variable length with a view toward Shannon's Noiseless Theorem |
Nov 10 | Shlomo Reisner (Haifa) From regular polygons to algorithms for polytope approximation |
Nov 4 | Michael Kinyon How to add vectors |
Oct 27 | Brett Werner ^{*} Ordered groups of Bratteli diagrams |
Oct 20 | Nic Ormes An introduction to chaos theory |
Oct 13 | Aditya Nagrath ^{*} Scattered lattices II |
Oct 6 | Aditya Nagrath ^{*} Scattered lattices |
Sep 29 | Fernando Tohme (Departamento de Economia - Universidad Nacional del Sur, CONICET, Argentina) Formal limitations in economic theory and the alternative set theory AFA ^{-} + AD + AC |
Sep 22 | Jonathan Poritz (Colorado State, Pueblo) Pure math in the news: Perelman and Poincare |
2005-2006
May 26 | Joel Cohen Prime numbers and powers of 2: A computational perspective |
May 19 | Aditya Nagrath ^{*} Representation of distributive lattices II |
May 12 | Kurt Koltko A gauge theory of CPT transformations |
May 5 | Cy Holladay ^{*} Queen domination |
Apr 28 | Oscar Hasbun ^{*} Fast matrix multiplication II |
Apr 21 | Jim Hagler Grothendieck inequality |
Apr 17 | Merab Gogberashvili (Andronikashvili Institute of Physics, Tbilisi, Georgia) Octonionic geometry |
Apr 14 | Stan Gudder Why quantum computers can do things ordinary computers cannot |
Mar 31 | Alvaro Arias Stone-Weierstrass theorem |
Mar 10 | Aditya Nagrath ^{*} Birkhoff's Theorem - Representation of distributive lattices |
Mar 3 | Oscar Hasbun Fast matrix multiplication |
Feb 24 | Rick Ball D5-T5 theorem |
Feb 17 | Mark Tomforde (William and Mary) C*-algebras of directed graphs |
Feb 10 | Adriana Nenciu (Florida) Number of character tables of finite groups |
Feb 3 | Michael Kinyon (Indiana U South Bend) The Coquecigrue of a Leibniz Algebra: Recent Progress |
Jan 27 | Rick Ball A little lattice theory |
Jan 20 | Petr Vojtechovsky Sphere packings and lattices |
Jan 6 | Kyle Pula ^{*} Mutually orthogonal Latin squares |
Nov 18 | Trent Hampton On Riemann Hypothesis |
Nov 11 | Wojciech Kosek (Colorado College) Dynamical methods in combinatorial number theory: history and some new results about prime numbers |
Nov 4 | Sarah Law ^{*} An introduction to queuing theory |
Oct 28 | Tricia Winning ^{*} Euclid's parallel postulate and the discovery of hyperbolic geometry |
Oct 14 | Alvaro Arias Marriage theorem and decomposition of measures |
Oct 7 | Claudio Delrieux (Universidad Nacional del Sur, Argentina) Fractal objects at the intersection of mathematics and computer science |
Sep 30 | Nic Ormes Fractals : In between dimensions |
Sep 23 | Rick Ball Selling pizza II |
Sep 16 | Rick Ball Selling pizza |
2004-2005
May 20 | Jonathan Von Stroh RSA cryptography and theoretical quantum implications |
May 13 | Giorgio Ottaviani (U Florence, Italy) What is computational algebraic geometry? |
May 6 | Cy Holladay ^{*} Knight's tours |
Apr 29 | Bill Cherowitzo (UC Denver) On generalizing the concept of a conic |
Apr 22 | Aditya Nagrath On downward order continuous and Priestley spaces |
Apr 15 | Aditya Nagrath A dreaded counterexample |
Apr 8 | Alvaro Arias Matrix inequalities |
Apr 1 | Stan Payne (UC Denver) Quadratic equations over finite fields |
Feb 25 | Sarah Law ^{*} Moebius maps |
Feb 18 | Jim Hagler The dollar auction |
Feb 11 | Frank Schroeck Entropy |
Feb 4 | Kyle Pula ^{*} Polya theory of counting II |
Jan 21 | Kyle Pula ^{*} Polya theory of counting I |
Jan 14 | Dan Daly ^{*} Designs and projective planes |
Jan 7 | Cy Holladay ^{*} Logic and formality |
Nov 17 | Kyle Pula ^{*} Introduction to combinatorial design theory |
Nov 12 | Chris Rasmussen (San Diego State University) A brief introduction to mathematics education research and an illustrative example |
Nov 5 | Aditya Nagrath ^{*} Priestley spaces II |
Oct 29 | Aitya Nagrath ^{*} Priestley spaces |
Oct 22 | Sarah Law ^{*} The art gallery theorem |
Oct 15 | Nic Ormes Entropy and symbolic dynamics |
Oct 8 | Stan Gudder Entropy |
Oct 1 | Petr Vojtìchovský Matrix games |
Sep 24 | Alvaro Arias Introduction to cryptography |
2003-2004
May 28 | Rick Ball On Stone-Weierstrass theorem |
May 21 | Petr Vojtìchovský Projective plane of order 2 and its many disguises |
May 14 | Aditya Nagrath ^{*} Priestley spaces with a few accumulation points II |
May 7 | Aditya Nagrath ^{*} Priestley spaces with a few accumulation points I |
Apr 30 | Alvaro Arias Antisymmetric tensor products and singular values |
Apr 23 | Alvaro Arias Majorization of vectors in R ^{n} and eigenvalue estimates |
Apr 16 | Nic Ormes Symbolic dynamics and the spectra of nonnegative matrices |
Apr 9 | Stan Gudder On Kadison's theorem |
Mar 5 | Brett Werner ^{*} Introduction to discrete dynamical systems |
Feb 27 | Jennifer Proal ^{*} Knots |
Feb 20 | Kimberly Wey ^{*} Banach-Tarski paradox |
Feb 13 | Charles Holland (Bowling Green) Divisible ordered groups: A counterexample |
Feb 6 | Nic Ormes Continuous fractions |
Jan 30 | Jim Hagler Approximating real numbers by rational numbers |
Jan 16 | Petr Vojtìchovský Magic squares |
Nov 14 | Rick Ball On well-ordered sets II |
Nov 7 | Mario Lopez The power of duality |
Oct 31 | Rick Ball On well-ordered sets |
Oct 24 | Nic Ormes Period 3 implies chaos |