The Mth 507 graduate seminar consists in part of talks given by OSU mathematics graduate students and invited speakers. Academic credit is normally available only to graduate mathematics students.
| 1 | Mon | Jun 24 | Petersen, Bent | Organizational meeting |
| 1 | Wed | Jun 26 | Petersen, Bent | Introduction to the Fourier transform |
| 2 | Mon | Jul 1 | Pierce, Larry | . |
| 2 | Wed | Jul 3 | Gyde, Nina | . |
| 3 | Mon | Jul 8 | Gratton, Larry | . |
| 3 | Wed | Jul 10 | . | . |
| 4 | Mon | Jul 15 | . | . |
| 4 | Wed | Jul 17 | Voltchenok, Oleg | . |
| 5 | Mon | Jul 22 | Nilklad, Lakana | . |
| 5 | Wed | Jul 24 | Storrs, Michael | . |
| 6 | Mon | Jul 29 | Dogra, Dhiraj | . |
| 6 | Wed | Jul 31 | Cook, Samuel | . |
| 7 | Mon | Aug 5 | Colosimo, Linda | . |
| 7 | Wed | Aug 7 | Miller, Christopher Frank | . |
| 8 | Mon | Aug 12 | Church, Barrett | . |
| 8 | Wed | Aug 14 | Petersen, Bent | Pizza and beverage of your choice at Dream Pizza! My treat. |
The title links take you to the abstracts.
| 1 | Tue | Jun 20 | Bent Petersen | Introduction to Prime Number Theorem PNT |
| 1 | Thu | Jun 22 | Bent Petersen | Li(x) and Asymptotics PNT |
| 2 | Tue | Jun 27 | Jonathon Fassett | Universality in Inverse Limits |
| 2 | Thu | Jun 29 | Bent Petersen | Möbius Inversion. Mellin Transforms. Sketch of PNT |
| 3 | Tue | Jul 4 | No class | Enjoy the fireworks! |
| 3 | Thu | Jul 6 | Bent Petersen | Mellin Transforms. A simple Tauberian theorem. PNT |
| 4 | Tue | Jul 11 | Bent Petersen | -- |
| 4 | Thu | Jul 13 | Bent Petersen | Analytic contiuation of (Riemann) zeta function by summation by parts. Ingham's proof of the result of Hadamard and de la Vallée Poussin that the zeta function has no roots with real part 1 (nor 0). PNT |
| 5 | Tue | Jul 18 | Jonathon Fassett | Generating Fractal Images using the Contraction Mapping Theorem |
| 5 | Thu | Jul 20 | Bent Petersen | Finish proof of Prime Number Theorem. PNT |
| 6 | Tue | Jul 25 | Bent Petersen | Critical points of polynomials. Theorems of Gauss, Lucas, Jensen, Walsh and Aziz. Conjecture of Sendov-Ilieff. |
| 6 | Thu | Jul 27 | Chris Nord | An example of Knaster and Kuratowski |
| 7 | Tue | Aug 1 | Bent Petersen | Banach's Contraction Mapping Theorem and Ordinary Differential Equations |
| 7 | Thu | Aug 3 | Erin Ferguson | Multidimensional Positive Definite Advection Transport Algorithm |
| 8 | Tue | Aug 8 | Johnner Barrett | Nonlinear transformations, the dark side of PDE's |
| 8 | Thu | Aug 10 | Bent Petersen | Pizza and beverage of your choice! Take a break from grading and refresh yourself. |
| 1 Tue | June 22 | Bent Petersen | Contraction mappings - ordinary differential equations - iterated function systems. |
| 1 Thur | June 24 | Bent Petersen | Some comments concerning the Fourier Transform |
| 2 Tue | June 29 | Ovidiu Dan Iancu | Countour reconstrucion in 3D tomography. |
| 2 Thur | July 1 | Dee Winn | Brownian Motion - Existence and Properties |
| 3 Tue | July 6 | Mark Ferguson | The Random Fibonacci Sequence |
| 3 Thur | July 8 | Katherine Smith | When is an Integer the Product of Two AND Three Consecutive Integers? |
| 4 Tue | July 13 | Julia Fredericks | Polygons of groups |
| 4 Thur | July 15 | Andre Weideman | (Guest speaker) Quadrature rules and rational functions |
| 5 Tue | July 20 | Hung Le | Maximal Operators along hypersurfaces |
| 5 Thur | July 22 | Jeffrey Dambacher | (Guest speaker) Inverse And Adjoint Matrices: Insight To System Feedbach, And Applications for a More Predictive Ecology |
| 6 Tue | July 27 | Stephanie Harrison | x2 mod n generator and a related cryptosystem |
| 6 Thur | July 29 | Heather Moreland | Springs and Molecular Vibrations |
| 7 Tue | Aug 3 | Dan Rosenberg | (Guest speaker) Simple mathematical models useful in conservation biology |
| 7 Thur | Aug 5 | Kinga Farkas | Some factoring algorithms from the time of Fermat to present day |
| 8 Tue | Aug 10 | Chris Bryant | The Enneper-Weierstrass Representation Theorem: A Minimalistic Approach To Minimal Surfaces |
| 8 Thur | Aug 12 | Bent Petersen | Pizza and beverage of your choice |
| Tue | June 23 | Bent Petersen | Remarks on the Fourier Transform |
| Thur | June 25 | Bent Petersen | Remarks on the Fourier Transform |
| Tue | June 30 | Dee Winn | A Form of Self-Similarity Relating to River Network Models |
| Thur | July 2 | Jon Fassett | Iterated Function Systems: Contraction mappings on the space of fractals |
| Tue | July 7 | Kaz Kinjo | Infinity in Mathematics |
| Thur | July 9 | Bent Petersen | Kepler's problem. Bessel functions |
| Tue | July 14 | Mike Paul | Cryptology applications of linear recurring sequences over finite fields |
| Thur | July 16 | Liz Veomett | Reaction-diffusion models of biological pattern formation |
| Tue | July 21 | Bent Petersen | Oscillatory integrals |
| Thur | July 23 | Stephanie Harrison | A method for evaluating polynomials |
| Tue | July 28 | Bent Petersen | Pseudo-differential operators. Basic ideas and examples |
| Thur | July 30 | Sara Clark | Studies on using computer algebra systems to aid conceptual learning of mathematics. |
| Tue | Aug 4 | Al Agnew | Operator Algebras for Curved Space Quantum Field Theorists I. |
| Thur | Aug 6 | Al Agnew | Operator Algebras for Curved Space Quantum Field Theorists II. |
| Tue | Aug 11 | Tim Wiltman | Tent function - Chaos in one dimension |
| Thur | Aug 13 | Bent Petersen | Pizza and beverage of your choice |
| Tues | June 24 | Bent Petersen | Organization. Introduction to Fourier transform |
| Thurs | June 26 | Bent Petersen | Fourier inversion |
| Tues | July 1 | Bent Petersen | Fourier inversion |
| Thurs | July 3 | Bent E. Petersen | Paley-Wiener and Bernstein theorems |
| Tues | July 8 | Ih-Ren Lan | Intersections of Space Curves and Planes |
| Thurs | July 10 | Julie Berglund | Using pictures to help find generators to the 2nd homotopy group |
| Tues | July 15 | Lisa Woodrum | Uniformly Distributed Sequences and ther Usefulness |
| Thurs | July 17 | Jeanne Atwell | Some Properties of Shallow Water Equations and Numerical Approximations |
| Tues | July 22 | Don Hickethier | Non-Euclidean Trigonometry; The Laws of Sines and Cosines on the Sphere and the Hyperboloid |
| Thurs | July 24 | Aaron Fetterolf | How to factor large numbers |
| Tues | July 29 | Terri Hunt | Calculation of the Green's function for the viscous incompressible fluid flow around a uniformly moving sphere |
| Thurs | July 31 | Bent Petersen | The Weyl calculus, the Integrating factor and the Campbell-Hausdorf formula |
| Tues | Aug 5 | Andy Goodman | Knots and the development of an invariant knot polynomial |
| Thurs | Aug 7 | Poul Petersen | Computing with the Inversive Congruential Generator |
| Tues | Aug 12 | Douglas Limmer | Measures on Locally Compact Groups |
| Thurs | Aug 14 | Bent Petersen | Pizza and beverage of your choice. We will meet at American Dream (or at my office). |
| June 25 | Bent Petersen | Cebysev estimate for distribution of primes |
| June 27 | Bent Petersen | The Big 3 Existence Theorems in metric spaces |
| July 2 | Bent Petersen | Fourier Transform, Convolution and Inversion |
| July 9 | Kathy Smith | Absolute Neighborhood Retracts |
| July 11 | Anton Kaul | Poincare Conjecture |
| July 16 | Anton Kaul | Poincare Conjecture |
| July 18 | Guy Adams | Hamming Codes: Errror detection and correction |
| July 23 | Jim Fischer | Differential Geometry |
| July 25 | Dee Winn | (Guest Speaker) Vector Potentials |
| July 30 | Fred Utter | Associations Among Teachers' Pedagogical Content Beliefs,... |
| Aug 1 | Beth Go | Classification of Surfaces |
| Aug 6 | Al Agnew | Lie Groups |
| Aug 8 | Bent Petersen | Distributions, Fourier transform |
| Aug 13 | Lyn Baker | Autormorphism group of 7-point projective plane is simple of order 168 |
| Aug 15 | Bent Petersen | pizza and appropriate beverage |
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