NCM24: New Connections in Math 2024

Analysis, Probability, PDE, Computation, & Applications

Date: Friday&Saturday, November 1&2, 2024
Location: Duke University, Durham, NC.

Are you an undergraduate student interested in analysis, probability, PDE, computation, or applied mathematics?

Do you want to learn more about research opportunities and graduate study in these fields?

New Connections in Math (NCM24) is a research symposium for undergraduate students interested in analysis, probability, PDE, computation, and applied mathematics. Organized and hosted by the RTG Team in the Duke Mathematics Department, the event will be a great way for students to learn about some current math research opportunities and about graduate study in math. Participants will meet other undergraduate students doing research, as well as graduate students and faculty working in analysis, probability, PDE, computation, and applications. Students who have been involved in a summer research project or semester research project are strongly encouraged to give a short talk about their work. The program will include: student research talks, faculty keynote speakers, a panel discussion with grad students and faculty about opportunities for graduate study, and many opportunities to interact with other mathematicians.

Some funding from the National Science Foundation is available to support undergraduate participation (travel and lodging). All participants must register, using the form below; funding support can be requested on the registration form.

REGISTRATION: Click HERE to register.

Questions? Contact mathweekend@math.duke.edu

Tentative Schedule:

Friday, November 1; Gross Hall 107

1:30-1:40 Welcome and opening remarks (Prof. Hongkai Zhao, Chair of Duke Mathematics)

1:40-2:50 Student Presentations, Gross Hall 107

Ijay Narang, Princeton University: Expanding Square Complexes from Graph Products
Hope Steen, New College of Florida: A Forced Viscoelastic Model for Small Spherical Particles
Saja Gherri, University of Michigan: Optimal Design Problems with Cost Function: Regularity of Minimizers and Free Boundary Analysis

2:50-3:15 Break, Math Department Tea

3:15-4:00 Faculty speaker: Prof. Nicholas Cook, Gross Hall 103

4:05-5:15 Student Presentations, Gross Hall 103

Aidan Chadha, Virginia Tech: Parameter Estimation with Dense, Convolutional, and Autoencoder Neural Networks Applied to the FitzHugh–Nagumo ODE
Rileigh Mansfield, University of Maryland, Baltimore County: Understanding and Tuning Earthquake Models with Data Assimilation
Alexander Weiss & Paul Bruzzi, Rensselaer Polytechnic Institute: An Introduction to Quantum Linear Algebra

5:20 End of Friday session. Walk to local restaurants for dinner.

Saturday, November 2; Gross Hall 103

9:00-10:30 Student Presentations

Alex Belov, Emory University: Discrete-time Markov Chain Models for Directed Single-cell Fate Inference
Vishva Patel, UNC-Greensboro: Analysis of trade-off between dispersal and intrinsic growth of a landscape ecological model
Chaoran Yang, Duke University: Derivation of the Kerr-Newman Metric
Lorelei Linkel, Georgia Institute of Technology: Physics-Informed Neural Networks and Particulate Matter Diffusion

10:30-11:00 Break

11:00-11:45 Faculty Speaker: Prof. Veronica Ciocanel: Protein journey inside cells: math modeling and analysis

11:45-1:00pm Lunch with faculty and grad students

1:00-2:00 Panel discussion about graduate study in math, careers in math

2:00-2:15 Break

2:15-3:00 Faculty speaker: Prof. Alexander Kiselev: Singularities in PDE

3:30 End.