## Alumni Scholars

### Ho-Chun Herbert Chang ’18

Hometown: Kaohsiung, Taiwan

I’m a math major from Kaohsiung, Taiwan. Mathematics is the language I find most versatile for interdisciplinary research. I am interested in using mathematics as a basis to understand music, literature, and certain areas in economics.

I have a few ongoing math-related projects. The first combines music and mathematics. I co-developed acoustic technology called Nonlinear Acoustic Synthesis with Professor Spencer Topel in the Bregman Media Labs, using mathematical tools I learned to connect acoustic and electromechanical engineering, signal processing, and nonlinear dynamics. The research culminated in three papers we presented in Brisbane (Australia), Taoyuan (Taiwan), and this May in Copenhagen. The project was recently accepted into the NSF I-Corp’s program at Thayer. Other math/music projects include an EEG “brainwave” performed at the Digital Arts Expo in 2016 as a sophomore science scholar, and probabilistic music compositions with neural networks with Professor Feng Fu in Math 60: Honors Probability. My senior thesis is also with Professor Fu, where I intend to use evolutionary game theory to model innovation and technology diffusion. I’m also finalizing my research from Math 86: Mathematical Finance into a paper with another student to appear in the SIAM Mini-symposium this July. This is supported by Professor Seema Nanda. Finally, as a Presidential Scholar, I am assisting Professor Evens in the English Department on his book The Mathematics of Philosophy, where I designed a machine assisted text analysis program to help analyze examples of literature, poetry, theatre, art, and philosophy that invoke mathematics. After analysis, I interpret the coevolution of these areas of knowledge with mathematics.### Jared Duker Lichtman ’18

Hometown: Bethesda, Maryland

My mathematical interests lie in number theory. But more than anything else I love the interconnectedness of mathematics: concepts and techniques from one field can, with enough ingenuity, be made relevant to another. Recently, mathematicians from seemingly unrelated fields have been getting excited about the Langlands program, a web of conjectures relating algebraic number theory with representation theory with geometry. Every time another conjecture is resolved, new exciting questions arise in its place to further unify mathematics. Research in number theory may lead to insights in other fields. This ebb and flow among branches will only enhance my understanding of and appreciation for mathematics as a whole.

Through funding as a Byrne Scholar, I have attended three conferences, presenting at two. I attended MAA MathFest 2015. I presented at Integers 2016, and AMS/MAA JMM 2017. I gave talks at the Dartmouth and Baltimore Number Theory Seminars. I’ll be giving talks at CANT 2017 and the Dartmouth Number Theory seminar during spring term 2017. I was a James O. Freedman Presidential Scholar with a number theory project and will be continuing that project next fall as a senior honors thesis. During summer 2015 I was a counselor at the Ross Mathematics program. For summer 2017, I’ll be in the number theory group at SMALL REU at Williams College.

Thanks to the Byrne Scholars I have been able to make the most of the opportunities that Dartmouth College offers. I was recently named as a 2017 Goldwater Scholar for my research. I hope to earn a Ph.D. in mathematics and teach at a university.

### Anirudh Udutha ’18

Hometown: Acworth, Georgia

I am fascinated by how much information we can derive systematically from seemingly simple everyday systems like integers. What may initially seem mundane can suddenly become illuminated by a theorem that reveals a part of the detailed structure of a mathematical object. To me, that’s so beautiful.

Number theory, a field of math studying properties of whole numbers, especially primes, has interested me since I first learned about it in grade school. Its foundations are relatively easy to grasp and yet even in basic modular arithmetic, concepts like the classic Euler’s Theorem already have powerful implications. I have always thought it exemplary how deep mathematics can take us in pursuit of answers to simply phrased questions, like those from the famous theorems of the 1600s and 1700s.

As a Byrne Scholar, I hope to pursue some kind of mathematical research while at Dartmouth, and possibly continue research after graduation.