# Fall 2018 Seminars

## Applied Math (Thursdays 3:10-4:00pm):

### September 6

Dr. Tianyu Zhang (Mathematical Sciences, MSU): Kinetics-Free Modeling of Biofilm Communities: Linking Microbial Metabolism to Community Environment

### September 13

Dr. Stephen Sofie (Mechanical Engineering-Materials Science, MSU): Montana University System Materials Science PhD Program

### September 20

Dr. Jarek Kwapisz (Mathematical Sciences, MSU): Mathematical Aspects of Measurement of Modal Dispersion for Multi-mode Optical Fibers

### September 27

Dr. Al Parker (Center for Biofilm Engineering & Dept. of Mathematics, MSU): Bayesian Analysis and Design of Experiments of Biolfilms Over Space and Time

### October 4

Dr. Mike Siddoway (Mathematics, Colorado College): Wind Erosion Equation

### October 11

Dr. Lori Ray (Chemical and Biological Engineering, MSU): Analysis of Convective and Diffusive Transport in the Brain Interstitium

### October 25

Dr. Rob C. Maher (Electrical and Computer Engineering, MSU): Signal Processing of Acoustic Gunshot Recordings

### November 8

Dr. Clay Shonkwiler (Dept. of Mathematics, Colorado State Uni.): Modeling Topological Polymers

### November 15

Dr. Mike Siddoway (Mathematics, Colorado College): The Call of the Lune

### November 29

Dr. Bruce Maxwell (Montana Institute on Ecosystems): Using Georeferenced Data to Make Better Agricultural Management Decisions

## Geometry & Topology Seminars (Wednesdays, 4:10-5:00pm)

**Lagrangian Mechanics: **

Lagrangian mechanics (LM) is, at its core, a conceptual and mathematical reformulation of classical Newtonian mechanics (NM). The primary advantage of this reformulation is that it is independent of coordinates, in contrast to NM, which is best suited to Cartesian coordinates. This makes LM easy to generalize to other situations like electromagnetism and relativity.

Recall that classical mechanics studies systems of finitely many interacting particles. LM treats classical mechanics independent of coordinates by studying the configuration space of a system of particles. These configuration spaces are smooth manifolds and thus can be described using differential topology without reference to particular coordinate systems. Under this formalism it is easy to derive Newton's laws as we know and love. For example F = Ma and the equality of action and reaction forces.

After studying the foundations of LM and understanding how to recover NM from it, we can turn our attention to Hamiltonian mechanics (HM) which is a further generalization of LM. Much of LM takes place "on" the tangent bundle of a configuration space, but HM happens on the cotangent bundle of a configuration space, or phase space. Making this transition further simplifies the equations of motion and makes more transparent certain symmetries. The advantages to studying HM are numerous. For instance, we would develop a physical intuition and understanding of symplectic manifolds. Moreover, the basic formulation of quantum mechanics is a generalization of HM. So learning HM should make understanding QM more straightforward.

A preliminary source: http://www.macs.hw.ac.uk/~simonm/mechanics.pdf

For the seminar, we suggest reading:

*Quantum Mechanics for Mathematicians *by Leon A. Takhtajan chapters 1 and 2.

## Mathematics Education Seminars (Wednesdays, 11:10-11:50am)

### September 12

Discussion: Conflicting goals of developing deep understanding, intellectual risk-taking, and "making the grade." Bring questions or a vignette crafted from your own experiences navigating a grade-driven culture.

### September 19

Drs. Jenny Green and Mary Alice Carlson (Mathematical Sciences, MSU): Discussion of project that connects data literacy and teacher action research.

### September 29

Dr. Elizabeth Burroughs (Mathematical Sciences, MSU): "Reducing Bias in Faculty Searches"

### October 3

Dr. Derek Williams and Graduate Student, Emmanuel Barton Odro (Mathematical Sciences, MSU): Sharing a proposal and preliminary results on a study involving an app to capture student engagement as they work on mathematics tasks.

### October 10

Allison Theobold (Graduate Student, Mathematical Sciences, MSU): Preview of her dissertation proposal

### October 17

Katherine McWalters and Dr. Mary Alice Carlson faciliatate a discussion on the links between disciplinary practice and research methods in educational research. They will draw on the theoretical and ethical stances that guide their own work on a project that uses research methods related to social design experimentation.

### October 24

Stacey Hancock will discuss her research on peer effects in the statistics classroom.

### November 7

Megan Wickstrom and Amber Yates will give a talk "Mathematical Modeling: Analyzing Elementary Students' Perceptions of Mathematics, Identity, and Expertise.

### November 14

(1) Steve Higgs will give his MSMME presentation.

(2) A student currently enrolled in M 534: Research in Mathematics Education will present an individual project.

### November 28

Two students currently enrolled in M 534: Research in Mathematics Education will present their individual projects.

### December 5

Two students currently enrolled in M 534: Research in Mathematics Education will present their individual projects.

## Pure Math (Mondays, 4:10-5:00pm) :

### September 10

Charlie Katerba (Mathematical Sciences,MSU): On the AJ-Conjecture, Part 1

### September 17

Charlie Katerba (Mathematical Sciences,MSU): On the AJ-Conjecture, Part 2

### September 24

Jarek Kwapisz (Mathematical Sciences,MSU): Trace Optimality of SIC POVMs

### October 1

Dr. Lukas Geyer (Mathematical Sciences, MSU): Stability of Indifferent Fixed Points and the Hadamard Three-Circle Theorem

### October 8

Dr. David Ayala (Mathematical Sciences, MSU): Equivariant Vector Spaces are Vector Bundles

### October 15

Dr. David Ayala (Mathematical Sciences, MSU): Equivariant Vector Spaces are Vector Bundles Part 2

### October 22

Dr. Ryan Grady (Mathematical Sciences, MSU): Shifted Symplectic Structures

### October 29

Dr. Ryan Grady (Mathematical Sciences, MSU): Topological Field Theories a la AKSZ (Part 2/2)

### November 9

Dr. Clay Shonkwiler (Dept of Mathematics, Colorado State Univ.): Symplectic Geometry and Frame Theory

### November 19

Eric Fink (Mathematical Sciences, MSU): Markov Partition for a Six-Dimensional Anosov Nilmanifold Diffeomorphism

## Statistics (Tuesdays, 3:10-4:00pm) :

### September 4

Noah Benedict, Jordan Love, Wyatt Madden, Laurie Rugemer, Rachel Ulrich, and Brad West (Graduate Students, Mathematical Sciences, MSU): "All About Internships"

*This panel discussion will feature five graduate students that completed internships
this summer and one graduate student working full time. The purpose of this discussion
is for students to better understand the internship process and provide insight for
others wishing to apply for an internship. This discussion is meant to be interactive
so attendees are invited to come with questions.*

### November 13

Dr. John Borkowski "Adaptive Cluster Sampling: An Introduction"