Katie Mann (Brown)
I study groups acting on manifolds. In other words, I ask how the topology or shape of a space influences the algebraic structure of its group of symmetries or transformations. And then I ask how both of these relate to the dynamics or long-term behavior of transformations: can they be chaotic? Very stable? What do particularly nice examples look like? I like these kinds of questions because they usually require some visual intuition, drawing pictures, and doodling, and on top of that I get to dabble in multiple areas of math (algebra, geometry, topology, dynamics) all at the same time.

Po-Shen Loh (Carnegie Mellon)
Po-Shen Loh is a math enthusiast and evangelist. He is the national coach of the USA International Mathematical Olympiad team, a math professor at Carnegie Mellon University, and the founder of expii.com, an educational technology platform which delivers free personalized learning on every smartphone. His math research considers a variety of questions that lie at the intersection of combinatorics (the study of discrete systems), probability theory, and computer science. Visit Po-Shen's website.

Sanjoy Mahajan (Olin)
Sanjoy Mahajan first taught at Mathcamp in 1999. He teaches mathematics, physics, and engineering at Olin College of Engineering where he is interested in improving physics education and in the art of approximation and street-fighting mathematics. He enjoys learning Bach and Handel pieces on the piano, reading, cooking, and languages (one reason that he speaks German to his daughters).

Scott Kaschner (Butler)
My main research interest is dynamical systems. These are mathematical or physical systems that evolve over time. While that description suggests this evolution is continuous (as in differential equations), this is not always the case. Most of my work is in discrete dynamics, where the time steps are repeated applications of a function or mapping to a set. This field of mathematics has interesting relationships with topology and is one of the driving forces behind the development and study of fractal geometry and chaos. I plan on incorporating all of these ideas into my courses at Mathcamp.

Matt Stamps (Yale-NUS)
Matt's research is at the intersection of algebra, combinatorics, geometry, and topology. He is especially fond of applying ideas from topology to solve challenging problems in combinatorics. At Yale-NUS College, Matt teaches a historical immersion course called Geometry & The Emergence of Perspective that explores the interactions between geometry and art during the Italian Renaissance. Outside of work, he loves to travel and tell outlandish stories, some of which are even true.

David Perkinson (Reed)
David Perkinson is a professor of mathematics at Reed College in Portland, OR. His mathematical interests include the Abelian sandpile model, combinatorics, and algebraic geometry. He loves doing research with undergraduates, having advised over 40 undergraduate theses and routinely working with students on summer research projects. His book "Divisors and Sandpiles: An Introduction to Chip-Firing", coauthored with Scott Corry, will appear this summer. He has taught mathematics at the African Institute of Mathematical Sciences in South Africa, Ghana, and Cameroon. His hobbies include board games and playing jazz guitar and the mbira, a musical instrument from Zimbabwe.

David Roe (MIT)
My first summer at mathcamp was before you were born (1999), and I've been back almost every year since. I started this year at MIT working on computational number theory: developing algorithms to study curves, surfaces, algebraic structures and modular forms that show up in number theory, and then applying them to build a corpus of examples (see www.lmfdb.org and www.sagemath.org). But this summer I'll be teaching you about gambling, shuffling and games.

Maria Gillespie (UC Davis)
Hi, I'm Maria Gillespie, and I'm a combinatorialist! I love working with discrete and algebraic mathematical objects like permutations and words, Young tableaux, polynomials, and generating functions. I also like geometry and sometimes combine it with the combinatorics that I do. Looking forward to meeting all the MathCampers during my visit!

Michael Orrison (Harvey Mudd)
Michael is a professor of mathematics at Harvey Mudd College, where he has been since 2001. His teaching interests include linear algebra, abstract algebra, discrete mathematics, and representation theory. His research interests include voting theory and harmonic analysis on finite groups. In particular, he enjoys finding, exploring, and describing novel applications of the representation theory of finite groups. He also enjoys cooking, watching movies, and coaching and refereeing soccer.

Angela Gallegos (Loyola Marymount)
Angela wanted to work in biology and physiology, but didn't like blood or needles, and so ended up pursuing mathematical biology. Her research has been in mathematical modeling of biological topics including the uterus, bacteria, cancer dynamics, and crocodilia populations! She and her collaborator and friend, Kami, will be teaching about discrete computational ways to model these kinds of subjects while at Math Camp this summer. In addition to math, Angela enjoys running (although is getting slower) and trying new things. She is currently living in Quito, Ecuador while on sabbatical, improving her spanish and learning more about cooking. She has two dogs now--one from her time living in Bogota, Colombia, and the second from Ecuador! She is incredibly excited for her first time at Math Camp!

Josh Tenenbaum (MIT)
Josh Tenenbaum is a professor of cognitive science and a member of the MIT Computer Science and Artificial Intelligence Lab (CSAIL). In his research, he builds mathematical models of human and machine learning, reasoning, and perception. His interests also include neural networks, information theory, and statistical inference. Visit Josh's website.

Kamila Larripa (Humbolt)
I love using mathematics to model biological systems. Some of my recent projects have included looking at how inflammation from a bacterial infection affects the cardiovascular system, and how immunotherapies for cancer can be improved. Angela and I will teach a class about math models in biology, and mentor student projects. Fun fact: I met my co-instructor Angela at the Summer Program for Women in Mathematics at George Washington University when I was an undergraduate student. That program was pivotal to my career path, and I am so excited to have the opportunity to be part of a similar program! I live in Humboldt, California, and love to bike, surf, and hike with my family.