### Analysis, Probability, PDE, Computation, & Applications

**Date: **Friday and Saturday, September 23-24, 2022

**Location:** Duke University, Durham, NC. All presentations will take place in Gross Hall.

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 (NCM22) 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. All participants must register, using the form below; funding support can be requested on the registration form.

Click HERE to register. (Registration is free)

Lodging booking link:

- We have arranged discounted hotel rooms for participants, at the AC Hotel Durham, which is within 15 minutes of Gross Hall.
- Please use the booking link to ensure you receive the discounted room rate. If you call the hotel directly, please make sure to mention you are a part of NCM22 to get the discounted room rate.
- We suggest booking early since we only have a limited number of rooms. During our event, other events will also be taking place so room availability in the area will be limited.

**Questions?** Contact *mathweekend@math.duke.edu*

Tentative Schedule:

**Friday, September 23; Gross Hall 330, **Ahmadieh Family Grand Hall.

1:30-2:40 Welcome and Student Presentations

- Nicolas Gonzalez Granda (Virginia Tech) and Nagaprasad Rudrapatna (Duke): "Navigating the Landscape of Fear"
- Julia Neylan (UMBC) and Meghan Kwon (UMBC): "Simulating Clustered Cell Migration in the Drosophila Melanogaster Egg Chamber. "
- Ian Augsburger (Johns Hopkins): "Imperfect vaccine can yield multiple Nash equilibria in vaccination games"

2:40-3:10 Break, Math Department Tea

3:10-3:55 Faculty speaker: Jianfeng Lu, "Analysis of Diffusion Models in Machine Learning"

4:00-4:40 Student Presentations

- Connor Shrader (University of Central Florida): "Analysis and Physical Interpretation of Data-Driven Manifold Coordinates"
- Arturo Ortiz (Brown University): "Non-universality in Clustered Ballistic Annihilation"

5:30 Dinner/evening activity

**Saturday, September 24; Gross Hall 103**

8:30 Coffee & tea.

9:00-10:30 Student Presentations

- Dennis Li (Carnegie Mellon) and Danyil Blyschak (Baruch College): "Investigating Markov Duality Through Techniques in Probability and Algebra"
- Malindi Whyte (Wake Forest): "Political parties under stress: when does bias outweigh consensus?"
- Anne Liu (Univ Washington): "An Artificially-damped Fourier Method for Dispersive Evolution Equations"
- Yash Rastogi (Univ Chicago): "Extremal Growth and Resolvent Estimates for Two Families of Hardy Space Operators"
- Qi Winston Liang (New York University): "Using Nonconservative Forces to Design Autonomous Robots"

10:30-11:00 Break

11:00-11:45 Margaret Regan "Use of homotopy continuation for parameterized polynomial systems”

12:00-1:30pm Lunch with faculty and grad students

1:30-2:45 Panel discussion about graduate study in math, careers in math

2:45-3:00 Break

3:00-3:45 Faculty speaker: Alexander Kiselev, "Singularities in differential equations"

4:00 End.

*This event is funded by the U.S. National Science Foundation grant "RTG: Training Tomorrow's Workforce in Analysis and Applications" (DMS-2038056).*