Research Tutorial Groups (RTGs)
“Research Tutorial Groups” introduce graduate students to mathematical research at the end of the first year and beginning of the second year, typically well in advance of formal dissertation research. In the spring of the first year, students listen to short lecture series on topics of current interest (usually three or four series of three or four lectures, one hour per week). In the following fall, students choose one of the topics and work on a research problem with the sponsoring faculty member and a small group of fellow students. The spring lecture series is one credit hour while the fall research group is three credit hours.
Current RTGs (Wednesdays, 4 pm, room 501)
• Jan 12 CANCELLED
• Jan 19
• Jan 26 Inverse problems for PDE's arising in medical imaging and tomogrraphy (Leonid Kunyansky) (Host ) This is a special joint session with Applied Math.
• Feb 9 (Anton Izosimov)
• Feb 16
• Feb 23 1+2+3+4+...=-1/12 (Chrisoph Keller)
• Mar 2 Topics in Machine Learnig - an Introduction (Marek Rychlik)
• Mar 16 Deep Learning in Optical Character Recognition and Medical Imaging (Marek Rychlik)
• Mar 23 (Shankar Venkataramani)
• Mar 30 Topics in Change-point Detection (Ning Hao)
• Apr 6 Topics in probability (Sunder Sethuraman)
• Apr 13 Pure Applied Math -- Proving theorems about PDEs coming from applications (Chris Henderson) This is a special joint session with Applied Math.
• Apr 20 (C. Douglas Haessig)
• Apr 27
• May 4
• Jan 13 CANCELLED
• Jan 27 Emergent collective behavior of interacting microswimmers (Janek Wehr) (Host Fiona McCann) This is a special joint session with Applied Math.
• Feb 3 Inverse problems partial differential equations arising imaging and medical tomography (Leonid Kunyansky) (Host Jalen Cates) This is a special joint session with Applied Math.
• Feb 17 CANCELLED
• Feb 24 Using computational fluid dynamics to understand jellyfish swimming and feeding (Laura Miller) This is a special joint session with Applied Math.
• Mar 24 Research in Mathematics Education with an Equity Lens (Marta Civil) (Host Owen MacDonald)
• Apr 7 CANCELLED
• Apr 14 Subtask Analysis of Process Data Through a Predictive Model (Xueying Tang) This is a special joint session with Applied Math.
• Jan 23: Interpretable & Tractable Machine Learning for Natural and Engineering Sciences (Misha Chertkov) This is a special joint session with Applied Math.
• Feb 20: NO LECTURE
• Feb 27: NO LECTURE
• Apr 3: NO LECTURE
• Apr 17: (Ibrahim Fatkullin) This is a special joint session with Applied Math.
• Apr 24: (Klaus Lux)
• May 1: (Sunhi Choi)
• Jan 17: What is it like to do research in Mathematical Biology? (Calvin Zhang) This is a special joint session with Applied Math and will be in Math 501.
• Mar 14: Rebecca McGraw
• Apr 18: CANCELLED
• Mar 8: (Yi Hu)
• Mar 29: An algebraist and a numerical analyst walk into a bar… (Andrew Gillette) This is a special joint session with Applied Math and will be in Social Sciences 118.
• Jan 27: An Introduction to Research in Finite Element Exterior Calculus (Andrew Gillette) This will be a special joint session with Applied Math and will be room 501.
• Feb 3, 10 & 17: Design, analysis and application of Monte Carlo sampling methods (Matthias Morzfeld) February 17th will be a special joint session with Applied Math and will be in room 501.
- Jan 21, 28 & Feb. 4: Universal and Isoperimetric Inequalities for Eigenvalues of Elliptic Operators (Lotfi Hermi)
- Feb 11, 18, 25 & March 4, 11: "Optimization, geometry, and numerical analysis: An approach to modeling capillary origami
- Joceline Lega Searching for the Minimum of a Functional
- David Glickenstein Geometric Manifolds via Triangulation
- Nick Brubaker Mathematics and Modeling of Elasto-capillary System
- Andrew Gillette A Brief Introduction to Splines on Triangulations
- March 18: No lecture
- March 25, April 1 & 8: Measuring Knowledge: Statistics Tools for Better Discerning What Data on Student Performance Can (and Cannot) Tell Us Guada Lozano
- April 15, 22 & 29: Computational Representation Theory of Groups and Algebras Klaus Lux
- May 6: No lecture
- Jan. 22, 29: Research Problems in Finite Element Theory: Analysis, Geometry, and Application
- Feb 5: No lecture
- Feb 12, 19, 26: Knot Invariants and Yang-Mills-Higgs Theory
- March 5, 12, 26 & April 2nd: Scaling Limits In Random Structures
Sunder Sethuraman & Shankar Venkataramani
- April 9, 16 & 23: Algorithmic Aspects of the Representation Theory of Algebras
- April 30 & May 7: No lectures
- Jan. 16, 23, 30: Geometric Flows (David Glickenstein)
- Feb. 6, 13, 20: Patterns in nature and the laboratory (Alan Newell)
- Feb 27 and Mar 6: Mathematics Education Research: What, Who and How? (Rebecca McGraw, Jennifer Eli and Mathew Felton)
- Mar 20, 27 and Apr 3: Eigenvalues and their multiplicities (Leonid Friedlander)
- Apr 10, 17, 24: (Klaus Lux)
- Nonparametric Statistics on Manifolds - By Examples and Applications. (Rabi Bhattacharya)
- Frontier topics in algebraic geometry from scratch. (Yi Hu)
- Disorder and noise in physical systems. (Jan Wehr)
- Finite (simple) groups: classification, representations, and applications. (Pham Tiep)
- Universality and conformal invariance in random walks (Tom Kennedy)
- Analytical Combinatorics (Nick Ercolani and Ken McLaughlin)
- The Art of Scientific Discovery (Hermann Gordon)
- Mathematical Models for the Study of Life History Strategies - Dynamics and Evolution (Jim Cushing)
- Duality in string theory (Pan Peng)
- Heron Triangles and Elliptic Curves (William McCallum)
- (Rebecca McGraw)
- Some variational models related to liquid crystals (Ibrahim Fatkullin)
- Moduli Spaces and Geometric Invariant Theory (Yi Hu)
- Representation Theory of Finite Groups and Its Computational Aspects (Klaus Lux)
- Locality estimates for classical oscillator systems (Robert Sims)
- Compression and Information (Marek Rychlik)
- Geometric flows in Riemannian and discrete geometry (David Glickenstein and Andrea Young)
- Galois Groups (Kirti Joshi and Dinesh Thakur)
- Representation Theory of the Symmetric Group (Philip Foth)
- Quantum Graphs (Leonid Friedlander)
- Zeta function(s): A Perspective (Kirti Joshi)
- Convexity in the study of Partial Differential Relations (Shankar Venkataramani)
- The epsilon-pseudo spectrum (Robert Indik)
- Berezian integrals (John Palmer)
- Periodically Forced Discrete Dynamical Systems and Applications to Problems in Population Dynamics (Jim Cushing)
- Counting Points on Fermat Curves (Doug Ulmer)
- Conformal Mapping and Planar Growth Processes (Nicholas Ercolani and Shankar Venkataramani)
- Solved and Unsolved Problems in Mathematical Theory of Disordered Systems (Jan Wehr)
- Random Matrix Theory (Ken McLaughlin)
- Geometry of Polygon Spaces (Yi Hu and Philip Foth)
- Research in Mathematics Education (Rebecca McGraw and Peter Wiles)
- The discrete Laplacian (Daniel Ueltschi)
- Some problems in the study of dynamical systems: an introduction (Don Wang)
- Gröbner bases: an introduction to algebraic geometry (Yi Hu)
Up to academic year 2002-2003, RTG's ran on a Fall–Spring cycle. Starting with calendar year 2004, they run on a Spring–Fall cycle. Thus there were no RTGs in Fall 2003.
- Quantum Information (Bill Faris)
- Geometry of Polynomials (Phillip Foth and Thomas Treloar)
- Rayleigh-Ritz Calculation of the Least Eigenvalue (Marty Greenlee)
- Partition Theory (Dennis Eichhorn)
- Gaussian Theory (Maciej Wojtkowski)
- Units in p-adic domains (Romyar Sharifi)
- Cryptography (Douglas Ulmer)
- Research in Mathematics Education (Marta Civil)
- Computational Group Theory (Klaus Lux)
- Diophantine Equations (Minhyong Kim)
- Algorithms in Signal Processing (Wavelets) (Klaus Lux)
- Nonstandard Analysis (Carl DeVito)