2023 Programs
Summer Symposium 2023 (videos)
- CMUSR (May 30th – Aug 4th)
- Project: Low-dimensional varieties and low degree points.
- Nathan Chen – Faculty
- Avi Zeff – Graduate Mentor
- Undergraduate participants:
- Zachary Canale
- Zoe Curewitz
- Shiv Yajnik
- Jacob Daum
- Carlos Santiago Calderon (Bridge to PhD Program)
- Project: Transcendence and number theory.
- Gyujin Oh – Faculty
- Rafah Hajjar Muñoz – Graduate Mentor
- Undergraduate participants:
- Zhaocheng Dong
- Gabriel Fernandez
- Katherine Mekechuk
- Xiaohua Wei
- Independent project: Hyperbolic three-manifolds with large isometry groups.
- Francesco Lin – Faculty
- Maria Stuebner – Undergraduate student
- Project: Low-dimensional varieties and low degree points.
- CSUREMM (May 30th – Aug 4th)
- Organizers
- Ivan Corwin
- George Dragomir
- Graduate mentors:
- Catherine (Casey) Ivanovich (Earth and Environmental Sciences, PhD Candidate)
- Tao Long (Computer Science, PhD Student)
- Hanyang Zhao (IEOR, PhD Student)
- Xintong Zhou (Statistics, MA Student)
- Undergraduate Projects & Teams
- From Climate Talk to Stock Shock: Modeling Policy Headline Sentiment and Index Fund Performance
- Aditya Jain
- Yun-Tzu Lin
- Valerie Rogel
- Sector-specific forecasting of volatility from Twitter sentiment
- Shiruo Liang
- Joe Wee Sham
- Yiming Song
- INSIGHT: Intelligent Negotiation Strategy for Information Games with Hidden Tactics
- Maksym Bondarenko
- Justin Haddad
- Phebe Lew
- A Noise Level Aware Poisson Denoising Algorithm for Fluorescence Microscopy Data Using SwinConv U-Net
- Judah Engel
- Milena Harned
- Maahi Patel
- Refining gender bias algorithms using sentiment analysis
- Yvon Lu
- Jordan Shiff
- Sophia Tu
- Modeling The Dual-Sourcing Inventory Problem – A Reinforcement Learning Approach
- Jingtao Li
- Jingwen Zhang
- Yihan Shen
- From Climate Talk to Stock Shock: Modeling Policy Headline Sentiment and Index Fund Performance
- Organizers
- CMUSRP (May 21 – June 17 in Paris, France)
- Organizer
- George Dragomir
- Project: Geometry and Dynamics of Moduli Spaces
- Project Lead: Anton Zorich – Distinguished Professor of Mathematics at the IMJ and Université Paris-Cité,
- Columbia Participants
- Alex Scheffelin – Graduate Student Mentor
- Undergraduate students:
- Aaron Cohen
- Tuan Dolmen
- Remy Kaldawy
- Zachary Lihn
- Organizer
2022 Programs
- CMUSR (May 31st – Aug 5th)
- Project: Last Passage Percolation on Mean-field Graphs
- Milind Hegde – Faculty
- Anushka Murthy – Grad Student
- Undergraduate Participants
- Charles Beck
- Stanley Jian
- He (Catherine) Lyu
- Harrison Wang
- Project: Last Passage Percolation on Mean-field Graphs
- CSUREMM (May 31st – Aug 5th)
- Organizers
- Ivan Corwin
- George Dragomir
- Graduate Mentors
- Enlin Qian (BME)
- Joe Suk (STATS)
- Xiaoxiao Sun (MBE)
- Han Yong Wunrow (APAM)
- Undergraduate Teams & Projects
- Modeling the Dynamics of Language Shift in Bilingual Communities
- Melody Harwood
- Yoojin Lee
- Pengfei (Ashley) Ren
- Tuberculosis transmission in United States correctional facilities pre- and post-2020
- Wynna Huang
- Sadie Klaus
- Lillian Rountree
- Data-Driven News-vendor
- Makoto Powers
- Ethan Turok
- Haoran Yuan
- The Impact of Climate Change Induced Natural Disasters on Education and Child Marriage Rates
- Daniela Perez
- Krystal Yimeng Sun
- Shivani Tripathi
- Extending the Sparse Projections Fine-mapping Model by Learning Genomic Annotation Weights
- Jack Henry Cleeve
- Ekene Ezeunala
- Gilead Turok
- Determining an Optimal Route for a Futuristic Probe to Visit Earth-like Exoplanets
- Samuel Farrell
- Longling (San) Winter
- Robert Young
- Using Stochastic Processes to Characterize the Metastatic Progression of Breast Cancer
- Brianna Han
- Carlos Mendonca
- Andrada (Mara) Nicolae
- Jane Zhang
- Modeling the Dynamics of Language Shift in Bilingual Communities
- Organizers
- CMUSRP (June 6th – July 15th in Paris, France)
- Organizer
- George Dragomir
- Project: Asymptotic Stabilities in Algebra and Geometry
- Quentin Guignard – Faculty (Université Paris Cité)
- David Marcil – Graduate Student (Columbia)
- Undergraduate Participants (Columbia)
- David Chen
- Behshad Jahan Pour
- Remy Maurice Kaldawy
- Zheheng Xiao
- Organizer
2021 Projects
- Hurst index estimation under measurement errors
- Carsten Chong – Faculty
Christian Serio – Grad Student
David Chen
Wangdong Jia
Bryce Joseph Monier
Shiyang Shen
- Carsten Chong – Faculty
- Critical fluctuations of the one-dimensional Ising model
- Konstantin Matestski – Faculty
Hindy Drillick – Grad Student
Siddharth Mehr Mane
Nicholas Gaston Molina
Erdem Baha Topbas
Zhenfeng Tu
- Konstantin Matestski – Faculty
- An Introduction to Random Geometry
- Joshua Pfeffer – Faculty
Zoe Himwich – Grad Student
Elena Gribelyuk
Ruoxi Li
Isaac Gene Rosenblum-Sellers
Hengzhi Zhang
- Joshua Pfeffer – Faculty
- Special projects (CSUREMM)
- Organizers
- Ivan Corwin
- George Dragomir
- Graduate Mentors
- Alejandra Quintos Lima (Stats)
- Chanyang (Judah) Ryoo (APAM)
- Maithreya Sitaraman (Math)
- Joseph Suk (Stats)
- Teams
- Diana Gregoire
Jonathan Socoy
Ahkeel Timothy - Dennis Cruz
Andrew Jin
Thiago Otto - Maria Stuebner
Silvia Toderas
Yiqi Wang - Jackman Liu
Ribhav Talwar
Xinyu (Rain) Wei - Ketan Jog
Oliver Li
Andrew Magid - Anthony Ozerov
Steven DiSilvio
Yu (Anna) Luo
- Diana Gregoire
- Organizers
- Independent projects
- Anda Tenie (Francesco Lin)
2020 Projects
- Asymptotics of Bernoulli Gibbsian line ensembles
- Evgeni Dimitrov – Faculty
- Weitao Zhu – Grad Assistant
Xiang Fang
Lukas Fesser
Christian Serio
Carson Teitler
Angela Wang
- Group actions and group representations in low dimensional topology
- Nick Salter – Faculty
- Maithreya Sitaraman – Grad Assistant
Destine Lee
Iris Rosenblum-Sellers
Anda Tenie
Jakwanul Safin
- The triple product L-function
- Michael Woodbury – Faculty
- Kevin Kwan – Grad Assistant
Alan Du
Lori Leu
Anton Wu
- Independent Projects
- Ben Goldwin and Yuze Zhang (Woodbury)
2019 Projects
- Surgery on knots and exotic phenomena in 3- and 4-manifolds
- Kyle Hayden – Faculty
- Ali Daemi – Faculty
Gabriel Agostini
Sophia Chen
Christian Serio
Lizka Vaintrob
Cecilia Wang
Anton Wu
Kexin Wu
- Topological Insulators and the Bulk-Edge Correspondence using Fredholm theory
- Jacob Shapiro – Faculty
Eli Fonseca
Ahmed Sheta
Angela Wang
Kohtaro Yamakawa
- Jacob Shapiro – Faculty
- Exploring symplectic embeddings and symplectic capacities
- Kyler Siegel – Faculty
- Semon Rezchikov – Grad Student
Alex Gajewski
Eli Goldin
Jakwanul Safin
Junhui Zhang
- Toric Varieties (Paris, France)
- Michael Harris – Faculty Organizer
- Huayi Chen – Faculty
- Raymond Cheng – Grad Student
Benjamin Church
Myeonhu Kim
Hobart Pao
Anda Tenie
Yunsong Wei
- Independent Projects
- Yujin Kim (Corwin)
- Lizka Vaintrob (Hayden, Daemi)
2018 Projects
- Knot Floer homology, bordered algebras and double points
- Akram Alishahi – Faculty
- Linh Truong – Faculty
Joseph Freund
Abhishek Kodumagulla
Max Krawczyk
Ayeong Lee
Bharatha Rankothge
Hsin Pei Toh
- Enumerative geometry and arithmetic
- Jo Nelson – Faculty
- Ila Varma – Faculty
(Alex) Zhongyi Zhang – Grad Student
Teresa Brown
Quang Dao
Mariya Delyakova
Lucas Furtado
Evan Wickenden
Myeonhu Kim
- Curves on surfaces over finite fields
- Daniel Litt – Faculty
- Alex Perry – Faculty
Raymond Cheng – Grad Student
Ben Church
Chunying Huangdai
Matthew Lerner-Brecher
Navtej Singh
Ming Jing
2017 Projects
- Representation theory in graph theory
- David Hansen – Faculty
- Daniel Litt – Faculty
Raymond Cheng – Grad Student
Renata Piccioto – Grad Student
Alejandro Buendia
Joseph Freund
Yihao Huang
Matthew Malone
Bharatha Rankothge
Jia Wan
Yi Wang
Junho Won
- Explicit central elements of quantized Lie algebras
- Jeffrey Kuan – Faculty
Darren Gooden – Grad Student
Ravi Campbell
Zachary Davis
Max Krawczyk
Keke Zhang
- Jeffrey Kuan – Faculty
- Constructions and obstructions of symplectic embeddings
- Jo Nelson – Faculty
Saraswathi Venkatesh – Grad Student
Theodore Coyne
Sara Edelman-Munoz
Chunying Huangdai
Greyson Potter
- Jo Nelson – Faculty
- Special projects
- David Hansen – Faculty
- Daniel Litt – Faculty
Raymond Cheng – Grad Student
Renata Piccioto – Grad Student
Adam Block
Micah Gay
Helena Rios
2016 Projects
- Constructions and Obstructions of Symplectic Embedding
- Jo Nelson – Faculty
Robert Castellano- Grad student
Katherine Christianson
Irit Huq-Kuruvilla
Greyson Potter
Roxane Sayde
Elizabeth Yoo
- Jo Nelson – Faculty
- Interacting particle systems and representations of quantized Lie Algebra
- Jeffrey Kuan – Faculty
Darren Gooden- Grad student
Nguyen Dung
Noah Miller
Junho Won
Keke Zhang
- Jeffrey Kuan – Faculty
- What does a random variety look like?
- Daniel Halpern-Leistner – Faculty
- Daniel Litt – Faculty
Dan Gulotta- Grad student
Carl Lian- Grad student
Louisa Carpenter-Winch
Kevin Choi
Lilian Cohen
Theodore Coyne
Seth Davis
Willie Dong
Michael Tong
Jason Vaccaro
- Special project on Algebraic Stacks
- Dave Hansen – Faculty
Linus Hamann
- Dave Hansen – Faculty
2015 Projects
- Spectral Graph Theory, Markov Chains, and the PageRank Algorithm
- Alexander Drewitz – Faculty
- Paul Siegel – Faculty
Darren Gooden – Grad student
Andrea Heyman – Grad student
Nguyen Chi Dung
Yujia Shi
Daniel Fan Yang
Greyson Katzel Potter
Hardik Devang Shah
Roxane Sayde
Louisa Carpenter-Winch
Jun Ho Yoon
- Arithmetic Properties of Hurwitz Numbers
- David Hansen – Faculty
Pak-Hin Lee – Grad student
Srikar Varadaraj
Ashley Xin Xu
David-Linus Hamann
Kevin Choi
- David Hansen – Faculty
- Obstructions to Symplectic Embeddings
- Jo Nelson – Faculty
Robert Castellano – Grad student
Kat Christianson
Nawaz Sultani
Irit Huq-Kuruvilla
Willie Guo Dong
- Jo Nelson – Faculty
2014 Projects
- Left-orderable groups and knot surgery
**End of project video**- Jennifer Hom – Faculty
Mike Wong – Grad Student
Katherine Christianson
Justin Goluboff
David Hamann
Srikar Varadaraj
- Jennifer Hom – Faculty
- Geometry of Coxeter Groups
**End of project video**- Jason Behrstock – Faculty (CUNY)
Timothy Susse – Grad Student (CUNY)
Daniel Gulotta – Grad Student
Sarba Raj Bartaula
Lena Min Ji
Robert Lyman
Samir Mathrani
Ha-Young Shin
- Jason Behrstock – Faculty (CUNY)
- Reeb Dynamics of Lens Spaces
**End of project video**- Jo Nelson – Faculty
Robert Castellano – Grad Student
Leonardo Abbrescia
Willie Dong
Irit Huq-Kuruvilla
Nawaz Sultani
- Jo Nelson – Faculty
- Spectral Graph Theory and the PageRank Algorithm
**End of project video**- Paul Siegel – Faculty
Thomas Nyberg – Grad Student
Riaz Helfer
Anish King
Samuel Nicoll
Robert Shorb
- Paul Siegel – Faculty
2013 Program
- Heegaard Floer Homology and the Fundamental Group
- Jennifer Hom – Faculty
Kristen Hendricks – Graduate Student
Fabian Doria-Medina
Michael Jackson
Joaquin Ruales
Hadas Zeilberger
- Jennifer Hom – Faculty
- Random Models on Planar Graphs
- Clement Hongler – Faculty
Krzysztof Putyra – Graduate Student
Adrein Brochard
Woo Chang Chung
Reza Gheissari
Sung Chul Park
- Clement Hongler – Faculty
- Knot Contact Homology
- Adam Knapp – Faculty
Jingyu Zhao – Graduate Student
Romin Abdolahzadi
Justin Goluboff
Nilay Kumar
Oren Weiss
Venkata Yamajala
- Adam Knapp – Faculty
- Elliptic Curves and Pairing Based Cryptography
- Marc Masdeu – Faculty
- Michael Woodbury – Faculty
Paul Lewis – Graduate Student
Joseph Eddy
Aditi Nair
Jenne O’Brien
Micah Smith
Yingtian Yang
John Yu
2012 Program
- Applications of knot Floer homology to the concordance group
- Jennifer Hom – Faculty
- Peter Horn – Faculty
Kristen Hendricks – Graduate Student
Andrew Fanoe – Graduate Student
Michael Gartner
James Groccia
Christian Moscardi
Siran Li
Josh Tobin
- Algebraic geometry over finite fields and rational curves
- Johan de Jong – Faculty
Andrew Kiluk – Graduate Student
Tabes Bridges
Rankeya Datta
Joseph Eddy
Michael Newman
John Yu
- Johan de Jong – Faculty
- Bordered Floer homology and knot complements
- Adam Knapp – Faculty
Corrin Clarkson – Graduate Student
Andrew Fanoe – Graduate Student
Won Gyu Choi
Samson Koelle
Jenne O’Brien
Venkata Yamajala
Yifei Zhao
- Adam Knapp – Faculty
- Appollonian Circle Packings (CU/NYU/CUNY RTG)
- Timothy Heath – Graduate Student
Romin Abdolahzadi
Jonathan Goetz
Ke Huang
- Timothy Heath – Graduate Student
2011 Program
- Knot Floer Homology: Properties and Computations
- Jennifer Hom – Faculty
- Corrin Clarkson – Graduate Student
Kristen Hendricks – Graduate Student
Vivian Bailey
Stephen Hancock
Michael Newman
Chun Ye
- Computations of Non-commutative Knot Invariants
- Shea Vela-Vick – Faculty
Peter Horn – Faculty
Ina Petkova – Graduate Student
Jonathan Hanselman – Graduate Student
Rankeya Datta
Stephen Fitz
Eden Prywes
John Schultz
Joshua Tobin
Kitty Yang
- Shea Vela-Vick – Faculty
- Quantum Computing with Knots
- Adam Knapp – Faculty
Meagan Thompson – Graduate Student
Sea Moon Cho
Shazia Dharssi
James Diotte
Sung Chul Park
Timothy Sun
- Adam Knapp – Faculty
- Rigidity of Graphs in Space
- Dylan Thurston – Faculty
Joe Stern – Graduate Student
Samuel Coolidge
Jeffrey Kandel
Arjun Mudan
Monica Puri
- Dylan Thurston – Faculty
- RTG Undergraduate Research Projects
- Apollonian Sums
Ian Whitehead – Graduate Student
Shai Chester
Sharma Goldson
Matthew Jacobs
Stephanie Zarrindast - A Classification of Integral Apollonian Circle Packings
Karol Koziol – Graduate Student
Tabes Bridges
Warren Tai - Unbounded Apollonian Circle Packings, Self-Similarity and Residual Points
Timothy Heath
Alexander Berenbeim
Todd Gaugler
Tasos Moulinos
- Apollonian Sums
2010 Program
- Rigidity of Graphs
- Dylan Thurston – Faculty
Andrew Fanoe – Graduate Student
Fatima Ahmed
Sherin George
Matthew Jacobs
Sung Chul Park
Timothy Sun
Chun Ye
- Dylan Thurston – Faculty
- Abelianized Characteristic Algebras of Legendrian Knots
- Shea Vela-Vick – Faculty
Rumen Zarev – Graduate Student
Atanas Atanasov
Jeffrey Irwin
Daniel Kotzen
Christopher Lopez
Eliot Wycoff
- Shea Vela-Vick – Faculty
- Categorification of Quantum Groups and Geometry
- Aaron Lauda – Faculty
Sabin Cautis – Faculty
Krzysztof Putyra – Graduate Student
You Qi – Graduate Student
Alexander Christian Moll
Alex Blumenthal
Alex Perry
Andrew Zhang
Axel Saenz
Benjamin Albert
James McIvor
Jin Woo Jang
Max Ehrman
Rachel Vishnepolsky
Sea Moon Cho
- Aaron Lauda – Faculty
- Eisentein Series and Zeta Functions
- Yakov Kerzhner – Faculty
Amella Farid
Moyang Li
- Yakov Kerzhner – Faculty
2009 Program
- Knots, triple branched covers, and Heegaard Floer Homology
- Adam Knapp – Faculty
Rumen Zarev – Graduate Student
Esther Adzhiashvili
Axel Saenz-Rodriguez
Claire Zukowski
- Adam Knapp – Faculty
- Dehn twists and symplectic fixed points
- Timothy Perutz – Faculty
Robert Lipshitz – Faculty
Thomas Peters – Graduate Student
Jonathan Bloom – Graduate Student
Alexandru Georgescu
Jin Woo Jang
Rachel Vishnepolsky
Xuran Wang
- Timothy Perutz – Faculty
- Rigidity of graphs
- Dylan Thurston – Faculty
Joseph Ross – Graduate Student
Ina Petkova – Graduate Student
Samuel Frank
Jiayang Jiang
- Dylan Thurston – Faculty
- Hyperbolic geometry
- Maksim Lipyanskiy – Faculty
Eric Potash
Kyler Siegel
Andrew Zhang
- Maksim Lipyanskiy – Faculty
- Sphere packing in odd dimensional hyperbolic space
- Yakov Kerzhner – Faculty
Alon Levy – Graduate Student
Alex Blumenthal
Christopher Lopez
Alexander Moll
Christopher Scaduto
Warren Tai
- Yakov Kerzhner – Faculty
- Categorifying quantum groups
- Aaron Lauda – Faculty
Alex Ellis – Graduate Student
Qi You – Graduate Student
Corey Bregman
Robert Legg
James McIvor
Delia Wang
- Aaron Lauda – Faculty
2008 Program
- Tower of Hanoi
- Jason Behrstock – Faculty
Eli Grigsby – Faculty
Harold Sultan – Graduate Student
Amy Cen
So Eun Park
Ian Spafford
Michael Rand
Andrew Zhang - So Eun Park posted a paper to the arxiv. It is available at: http://arxiv.org/pdf/0809.1179v1
- Jason Behrstock – Faculty
- TQFT
- Aaron Lauda – Faculty
Joelle Brichard – Graduate Student
Ben Elias – Graduate Student
Giwan Kim
Andrew Kontaxis
David Xia
- Aaron Lauda – Faculty
- Floer Homology
- Adam Knapp – Faculty
Ina Petkova – Graduate Student
Roman Zarev – Graduate Student
Yael Degany
James Oyuang
Xuran Wang
- Adam Knapp – Faculty
- Hyperbolic Geometry
- Max Lipyanskiy – Faculty
Thomas Peters – Graduate Student
Cory Bergman
Taekgyu Lee
Eric Potash
Rachel Vishnepolsky
- Max Lipyanskiy – Faculty
- Polyhedral cones and their intersections with lattices
- Michael Thaddeus – Faculty
Alex Perry
Christopher Lopez
Atanas Atanasov
- Michael Thaddeus – Faculty
2007 Program
- Knot Theory Group
- Robert Lipshitz – Faculty
Thomas Peters – Graduate Student
Yael Degany
Andrew Freimuth
Jonathan Hales
Dmytro Karabash
Michael Lock
Edward Trefts - The Knot Theory Group wrote this paper:
A Modification of the Sarkar-Wang Algorithm and an Analysis of its Computational Complexity
- Robert Lipshitz – Faculty
- Number Theory Group
- Mirela Ciperiani – Faculty
Kimball Martin – Faculty
Joe Ross – Graduate Student
Atanas Atanasov
Rebecca Bellovin
Ivan Loughman-Pawelko
Laura Peskin
Eric Potash - The Number Theory Group wrote this paper:
An asymptotic for the representation of integers as sums of triangular numbers
- Mirela Ciperiani – Faculty
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