# Newsletter 2019

# Mathematics Newsletter, Fall 2019

**In This Issue:**

- Colloquium/Seminar Schedule
- Preliminary Exam Dates
- Important Dates
- Colloquium Highlights
- New Mathematics Graduate Students/Faculty Profiles
- Department Manager - Kathryn Baldwin
- Graduate Student Coordinator - Gina Hernan
- Some Mathematics Graduate Insight - Natalya Jackson
- Directed Reading Program (DRP)
- Serving Local Students: MBAMP

## Colloquium/Seminar Schedules:

*: Undergraduate Colloquium 4-5pm McHenry Room TBA*

**Mondays***: Math Tea Time 3:30-4pm*

**Tuesdays**McHenry Room 4161

*: Math Colloquium 4-5pm*

**Tuesdays**McHenry Room 4130

*: Geometry & Analysis Seminars 4-5pm*

**Wednesdays**McHenry Room 4130

*: Graduate Colloquium 4-5pm*

**Thursdays**McHenry Room 4130

*: Algebra & Number Theory Seminars*

**Fridays**4-5pm McHenry Room 4130

### Preliminary Exam Dates:

*Check for updates!*

09/27/19 Algebra 9am-2pm McHenry Room 4191

10/04/19 Analysis 9am-2pm McHenry Room 4191

10/11/19 Geometry 9am-2pm McHenry Room 4191

## Important Dates: **denotes mandatory for new graduate students*

**09/18/19 **Inclusive Classroom Practices Training

**09/19/19 **Inclusive Classroom Practices Training

**09/21/19** Fall Quarter Begins

**09/23/19** Mathematics Graduate Orientation for new grads*. *Schedule TBA*

**09/24/19 **all Math Graduate Orientation for current and new grads. *Schedule TBA*

**09/25/19**New Graduate Student Orientation

**09/25/19**8am - 12pm: International Grad Student Orientation - Classroom Unit 2

9:30am - 10:30am: Title IX Training

**international students only**- Classroom Unit 2

11am - 12pm: Title IX Training

**domestic students only**- Humanities Lecture Hall

12:15pm - 12:45pm: UAW 2865 Teaching Assistant Union Presentation (tentatively scheduled; this time may change)

1:00pm - 3:30pm: Resource Fair, Luncheon & Social - Quarry Amphitheater

**9/26/19**Instruction Begins

**9/20 & 21**All TA Fall Mandatory TA training Workshop with Frank Bauerle & Jen Correia *update?*

**10/01/19**Mathematics Welcome Back Event, 3:00pm in Tea Room (McHenry 4161)

**10/02/19**Fall Sections Begin

# 2018-2019 Colloquium Highlights

**Special Colloquium Speakers**

**Professor Alexander Koldobsky** of the University of Missouri is a leading expert in geometric functional analysis and convex geometric analysis, and known for his contributions to the solution of the Busemann-Petty problem. His talk was titled "Fourier analysis in geometric topography."

**Rafe Mazzeo** is a Professor at Stanford and the Director of the IAS/Park City Mathematics Institute. He is a leading expert in microlocal analysis, and scattering and spectral theory in a geometric context. He spoke on "The Extended Bogomolny and Kapustin-Witten Equations", building the foundations of a gauge-theoretic approach to knot invariants.

**Professor Svetlana Jitomirskaya** of UC Irvine is a leading expert in Mathematics Physics, in particular the spectral theory of operators with almost periodic potential. She is best known for her solution (jointly with A. Avila) of the `Ten Martini Problem', which identifies the spectrum of the almost Mathieu operator as Cantor-type set. She talked about "Lyapunov exponents, small denominators, arithmetic spectral transitions, and universal hierarchical structure of quasiperiodic eigenfunctions."

# New Mathematics Faculty

## Welcome to the UCSC Mathematics Department,

we are so happy you are here!

** Hatice Mutlu - Visiting Assistant Professor**

I recently completed my PhD at Bilikent University and joined the UCSC Math Department in the Fall of 2019 as a Visiting Assitant Professor. My research focuses on representation of finite groups, in particular, functorial methods. I mostly work on the Burnside ring, the monomial Burnside ring, the ordinary and p-modular character rings, and the p-permutation ring.

Outside of mathematics, I enjoy hiking, cycling, and travelling to new places.

** Yuchin Sun - Visiting Assistant Professor**

Born overseas to Australian parents, Beren spent his childhood following his family all over the world (he has lived in eight countries... no joke). Fortunately, he survived the culture shock of returning to Australia as a teenager and, after undergraduate studies in Sydney, he moved to California for graduate school, receiving his PhD from UCLA in 2014.

Since then he has been living in Europe with postdoctoral positions in Denmark (at the University of Copenhagen) and in Switzerland (at EPFL). He is very much looking forward to joining the mathematics faculty at UC Santa Cruz.

Beren's research lies primarily in the study of triangulated categories and stable homotopy theories, especially via the methods of tensor triangular geometry. This is an interdisciplinary subject with close connections to algebraic geometry, algebraic topology, and the representation theory of groups and associative algebras. Besides mathematics, Beren loves literature, music, and the outdoors, and is a strong supporter of efforts to translate Shakespeare back into the original Klingon. He tries not to take himself too seriously.

# Department Manager - Kathryn Baldwin

** Kathryn Baldwin**

Jen Correia is the Graduate Advisor and Program Coordinator for the Mathematics Department. She is a Student Affairs professional of seven years, previously working with first year students as an Area Coordinator at Trinity College in Hartford, Connecticut.

Jen is a native New Yorker who decided to give the west coast a try; she moved across the country with her husband, baby (now toddler!), and two cats in tow at the end of Summer 2017. She joined UCSC and the Department in Fall 2017.

Jen is excited to be part of the UCSC community and hopes to bring a creative spark to her role. Feel free to stop by McHenry 4111E to say "hello"!

# Graduate Student Coordinator - Gina Hernan

** Gina Hernan**

Jen Correia is the Graduate Advisor and Program Coordinator for the Mathematics Department. She is a Student Affairs professional of seven years, previously working with first year students as an Area Coordinator at Trinity College in Hartford, Connecticut.

Jen is a native New Yorker who decided to give the west coast a try; she moved across the country with her husband, baby (now toddler!), and two cats in tow at the end of Summer 2017. She joined UCSC and the Department in Fall 2017.

Jen is excited to be part of the UCSC community and hopes to bring a creative spark to her role. Feel free to stop by McHenry 4111E to say "hello"!

# Some Mathematics Graduate Insight

**Natalya Jackson**

Being a single parent in graduate school is a delicate exercise in time management, self-discipline, and self-care. I sometimes joke that I'm getting a PhD in my spare time! Balancing research and teaching duties with family life complicates scheduling, but I wouldn't trade it for anything. I have a passion for teaching -- my philosophy is that enthusiasm is contagious -- and I hope to continue both teaching and research after I graduate.

I spent the summer after my 3rd year working in a small group of grad students studying topics my advisor suggested, which were not covered in the usual courses. This was an incredibly valuable experience which allowed me to learn much more than I could have on my own in the same time frame.

Now that I'm starting my 5th year, it's great to finally have an answer to that pesky question, "What's your research about?" It took four years to be able to say, "I'm working on a Godement-Jacquet style alternative construction of the Local Langlands Correspondence for split tori over nonarchimedean local fields." I've found that people outside mathematics are often surprised to learn how long it can take to develop the background required to do research in math.

If I were to offer one suggestion for incoming grad students, it would be to not disregard information from classes which are outside your current interest. I always thought I'd do research in algebra, so I glossed over analysis with the minimal concern required to pass preliminary exams. Now I'm doing research in an area of mathematics which combines algebraic number theory, Fourier analysis, representation theory, functional analysis, algebraic groups, and much more. It turns out that things I thought I'd never use again became extremely important to me!

**New Graduate Students Fall 2019**

**Ampagouni, Divya Maneesha****Barut, Erol****Bhamidipati, Deewang****Breland, Jadyn****Dowd, Cheyenne****Guerrero, Jennifer****Henningsen, Harrison****Kennerly, Shane****Ma, Brian****Miller, Sam****Nashed, Maryam****Newman, Nicolas****Price, Amethyst****Reardon, Leland****Schanzer, Spencer****Sutrave, Vaibhav****Tastan, Fulya**

# The Directed Reading Program

#### Organizer: Nathan Marianovsky

The Directed Reading Program (DRP) at UCSC pairs experienced graduate students with motivated undergraduates to meet weekly and discuss a topic of their choice. This is a valuable opportunity for undergraduate students to learn material not offered in classes, and for graduate students to contribute their expertise and gain experience in outreach and mentoring.At the end of the quarter, undergraduate students give a 15-20 minute talk about their work. We expect graduate students to help their mentees prepare for this talk - communicating knowledge is just as important as acquiring it!

In Winter 2018 we had 6 undergraduates and in Spring 2018, the program had 11 undergraduates working with graduate students on a variety of topics including machine learning, fluids, Lie groups, and algebraic topology. "The DRP has been a very fulfilling experience for me," said undergraduate particpant Sandra Nair. "It makes mathematics a joyful adventure!" Future plans for the program include securing further funding from external sources to broaden participation, as well as connecting with other DRPs in the Bay Area to provide more speaking opportunities for undergraduate math majors. For more information see https://campusdirectory.ucsc.edu/cd_detail?uid=nmariano.

Talks from previous quarters: Winter 2019 Spring 2019

# Mathematics Awards Spring 2019

Congratulations to the recipients of our Mathematics Awards in 2019! They each received $1,000 awards in recognition of their accomplishments in the Mathematics major—Pure Mathematics concentration. We are honored to recognize their hard work and to be able to present them with an award.

Sandra Nair and Shane Kennerly were selected by Mathematics faculty as recipients of this year's *J.W.T. Youngs Memorial Undergraduate Award in Mathematics*. The family and friends of Professor Youngs, a former professor at UCSC, established the award after he tragically passed away in 1970. Professor Youngs was a member of the Mathematics Department and a Fellow of Crown College. The endowment was established to honor his memory by supporting two annual prizes, one for an outstanding student of mathematics enrolled in Cowell College, and one for an outstanding student of mathematics enrolled anywhere on the Santa Cruz campus. The Youngs award is administered by the Mathematics Department.

We wish them all success in their future endeavors!

**Short Bio from **Sandra Nair

My name is Sandra Nair. I am an international student from India, currently in the third year of my double major in Pure Mathematics and Physics. I am constantly amazed by the intersection of these two incredible subjects, as found in string theory and quantum field theory. It is my ardent faith that a final unified theory of mathematics is indistinguishable from the physics counterpart, as Nature has a way of projecting the most fascinating objects into reality. I aim to be a mathematical physicist who studies and explores these abstract territories for a living. The only way for us to make progress in the fundamental sciences is through the influx of ideas and new approaches- both of which are directly proportional to the background of the next generation of scientists. Therefore, it is our duty to encourage and promote underrepresented minorities in STEM- women, people of color, LGBTQIA+ folks, differently abled persons etc. to name a few categories. It is my hope that the recognition brought forth by this award would lead to a greater diversity in the people considering mathematics as a career. We need more people like Noether, Ramanujan, Turing, and Hawking to get to the next level. We need scientists who are in touch with their humanity if our kind is to survive the next millennium.

**Short Bio from **Shane Kennerly

Hi, I’m Shane Kennerly, and I’m currently finishing my undergraduate degrees in Pure Mathematics and Computer Science here at UCSC. I had originally intended to apply to the university as a proposed physics major, but after taking a couple more math-heavy courses at the end of high school, I realized that what I really liked about physics was the underlying mathematics. Throughout my four years of studying math here, my love for the subject has only grown as I’ve been able to engage more deeply in these concepts through my coursework. I am honored to receive this award, and would like to thank Prof. Junecue Suh, Prof. Robert Boltje, and Prof. Ed Karasiewicz, as well as the rest of the Mathematics Department and the professors I’ve had for giving me these opportunities to learn and helping me along the way. I have thoroughly enjoyed these past four years here, and am extremely grateful for the friends I’ve made, the things I’ve learned, and the experiences I’ve had, both academic and extracurricular. I plan to begin my Master’s in Pure Mathematics here this coming fall, and will hopefully pursue a Ph.D. in the future.

# Serving Middle and High School Students

### Monterey Bay Area Mathematics Project - MBAMP

The Monterey Bay Area Mathematics Project (MBAMP) exists to increase the academic achievement of students in mathematics (grades K – 12) via professional development programs (PD) for teachers.

These PD programs enhance the content knowledge and teaching skills of classroom teachers.

As overall student achievement rises, MBAMP programs will reduce achievement gaps in the mathematics performance of student populations.

Core to the improvement efforts sought by MBAMP programs are the partnerships developed between MBAMP and local school districts, the Santa Cruz, San Benito, Monterey and Santa Clara County Offices of Education (COEs), the mathematics faculty of UCSC and other organizations concerned about mathematics education.

MBAMP is dedicated to providing students a rich, rigorous, and coherent mathematics curriculum taught by competent and confident mathematics teachers who foster all students’ proficiency in mathematics—achieving equity in quality.

All teachers and students become competent mathematical thinkers as they investigate, conjecture, and justify in their pursuit of mathematical knowledge.