TRIPODS-STEMFORALL2023
Coordinator and organizer: Alex
Iosevich (iosevich@math.rochester.edu) (University of
Rochester) and Azita Mayeli
(amayeli@gc.cuny.edu) (CUNY)
Co-organizers: Charlotte
Aten (Charlotte.Aten@du.edu, University of Denver), Steven
Kleene (skleene@ur.rochester.edu, University of Rochester), Sevak
Mkrtchyan (sevak.mkrtchyan@rochester.edu, University of
Rochester), Firdavs Rakhmonov (frakhmon@ur.rochester.edu), Emmett
Wyman (emmett.wyman@rochester.edu, University of Rochester),
and Yujia
Zhai (zhai@clemson.edu, Clemson)
Instructors: Charlotte Aten, Matthew
Dannenberg (m.dannenberg@rochester.edu, University of
Rochester), Alex Iosevich, Mandar Juvekar
(mjuvekar7@gmail.com, Boston University), Steven Kleene, Azita
Mayeli, Sevak Mkrtchyan, Anna
Myakushina (amyakush@u.rochester.edu, University of
Rochester), Emmett Wyman, Yujia Zhai
Project supervisors: Charlotte Aten, Matthew
Dannenberg, Alex Iosevich, Scott Kirila, Azita Mayeli, Svetlana
Pack, Donovan Snyder, Evan Witz, Emmett Wyman, Yujia Zhai.
Computer support: Charlotte Aten, Gabe Hart
(gabe ghart3@u.rochester.edu, University of Rochester), Alex
Iosevich, Mandar Juvekar, and Anna Myakushina
Final Presentations:
Click
here for the description of the projects. Click on the items
below for the .pdf files of the final presentations:
Buffon Needle
Problem
Systems
of Non-Linear Equations
Graphs
and Complexity
Modeling Seizures
Time Series and
Complexity
Fractal
Strutctures in Data Sets
VC-Dimension
and Applications
Discrete
Neural Nets
Videos of the final presentations:
Afternoon
presentations: Time Series and Complexity, Systems of
Non-Linear Equations, Fractal Strutctures in Data Sets,
Graphs and Complexity
Evening
presentations: Modeling Seizures, VC-Dimension and
Applications, Discrete Neural Nets, Buffon Needle Problem
Overview:
This Tripods.StemForAll program will be of a slightly different
flavor than the previous three. We are going to combine the material
from several advanced undergraduate courses such as Probability,
Geometry, Combinatorics and Number Theory and focus on the aspects
of the material covered in those classes that are susceptible to an
effective analysis using modern big data techniques. As a result, we
are going to both deepen our understanding of the subject matter in
those courses and develop the skills that are valued in Big Data. In
the coming weeks and months, we are going to start posting sketches
of the type of problems we are going to consider in this program and
links to the study materials, both theoretical and computational.
It is my hope that at least a few undergraduate students would be
interested in getting started on the projects outlined below during
the 2022-2023 academic year, long before Tripods/StemForAll2023
actually begins.
Dates and locations:
The program is going to run from July 24 until August 4 in Hylan
1106A.
Preliminary schedule:
Week 1:
Combinatorial geometry mini-course: 8 a.m. - 9.30 a.m.
Number Theory mini-course: 10:00 a.m. - 11.30 a.m.
Probability mini-course: 12.30 a.m. - 2.00 p.m.
Geometry mini-course: 2.30 p.m. - 4.00 p.m.
Dinner break: 4.00 p.m. - 7.00 p.m.
Python coding groups: 7 p.m. - 9 p.m.
Week 2:
Research groups meeting on their own, with or without
instructors: 8.00 a.m. - 9.00 a.m.
Research groups meeting with project supervisors: 9:00 a.m. - 11:00
a.m.
Lunch break: 11:00 a.m. -1.30 p.m.
Research group meetings with project supervisors: 1.30 p.m. - 3.00
p.m.
Participants working individually and in small groups: 3.00 p.m. -
4.00 p.m.
Dinner break: 4:00 p.m. - 7.00 p.m.
Evening regroup with supervisors: 7.00 p.m. - 8.00 p.m.
Python
Coding Groups Information: this link will be
continually updated with respect to the python groups. The
composition of the groups is going to change several times due to
the nature of the assignments. Please check this link often.
Participants:
Tripods:
William Hagerstrom whagerst@u.rochester.edu (University of
Rochester) (confirmed)
Gabe Hart ghart3@u.rochester.edu (University of Rochester)
(confirmed)
Jennifer Kim jjk358@cornell.edu (Cornell University) (confirmed)
Anuurag Kumar akumar48@u.rochester.edu (University of Rochester)
(confirmed)
Isaac Li ili3@u.rochester.edu (University of Rochester)
(confirmed)
Svetlana Pack spack2@u.rochester.edu (University of Rochester)
(confirmed)
Nathan Skerret nskerret@u.rochester.edu (University of Rochester)
(confirmed)
Lily Stolberg lstolber@u.rochester.edu (University of Rochester)
(confirmed)
Lily Testa ltesta6@u.rochester.edu (University of Rochester)
(confirmed)
Stephanie Wang swang157@u.rochester.edu (University of Rochester)
(confirmed)
StemForAll:
Karam Aldahleh kaldahle@u.rochester.edu (University of
Rochester)
Ajax Benander akb9408@g.rit.edu (RIT)
Moez Boussarsar mboussar@u.rochester.edu (University of Rochester)
Xiangyi Chen xchen111@u.rochester.edu (University of Rochester)
Xiaolu Chen xchen118@u.rochester.edu (University of Rochester)
Skye Crocker scrocker@u.rochester.edu (University of Rochester)
Colin Hascup chascup@u.rochester.edu (University of Rochester)
Yuesong Huang yhu116@u.rochester.edu (University of Rochester)
Joshua Iosevich ji1964@rit.edu (RIT)
Andrew Isaacson aci4835@g.rit.edu (RIT)
Wentao Jiang wjiang20@u.rochester.edu (University of Rochester)
Allihussein Khalil akhalil3@u.rochester.edu (University of
Rochester)
Tran Duy Anh Le tle18@u.rochester.edu (University of Rochester)
Jiaming Lyu jlyu5@u.rochester.edu (University of Rochester)
Xinyi Liu xliu118@u.rochester.edu (University of Rochester)
Peter MacNeil pmacneil@u.rochester.edu (University of Rochester)
Cooper Orio corio@u.rochester.edu (University of Rochester)
Yining Qian yqian16@u.rochester.edu (University of Rochester)
Zheling Sheng zsheng6@u.rochester.edu (University of Rochester)
Scott Sun ssun27@u.rochester.edu (University of Rochester)
Jiamu Tang jtang41@u.rochester.edu (University of Rochester)
Xianquan Yan xyan11@u.rochester.edu (University of Rochester)
Tae Ho Yoo tyoo4@u.rochester.edu (University of Rochester)
Gus Vietze gvietze@u.rochester.edu (University of Rochester)
TJ Weaver tjw7363@rit.edu (RIT)
Matthew Xie ml12342019@gmail.com (high school)
Kevin Xue xuek2022@outlook.com
(Notre Dame University)
Jonathan Zhang jonathan.zhang.wayland@gmail.com (University of
Rochester)
Mini-courses:
Combinatorial geometry - we are going to
explore counting problems involving points, lines, circles and other
geometric objects in the plane and higher dimensional space. In the
process, we are going to identify problems that susceptible to
computer analysis and generate suitable python code to gain
additional insight. Applications of combinatorial geometry to big
data will also be discussed and explored.
Instructional team: Alex Iosevich, Mandar Juvekar and Firdavs
Rakhmonov
Prerequisites: i) Math 150 or a similar course in discrete
mathematics. ii) Good python programming skills.
Probability - we are going to explore a
variety of topics in probability theory and investigate them using
the tools of modern data science such as neural networks and other
computational packages. Applications to applied data science will
also be discussed.
Instructional team: Sevak Mkrtchyan, Matthew Dannenberg, and Anna
Myakushina
Prerequisites: i) Math 201 at the University of Rochester or
equivalent. ii) Good python programming skills.
Geometry - we are going to explore several
topics in differential geometry that lend themselves to
investigation using computational techniques of modern data science.
Connections with the neural networks will be thoroughly explored.
Instructional team: Steven Kleene and Emmett Wyman
Prerequisites: i) Linear algebra and multi-variable calculus. ii)
Good python programming skills.
Algebra/Number Theory - we are going to explore
some aspects of group theory and elementary number theory and
discuss connections with modern data science, in particular, with
the theory of neural networks.
Instructional team: Charlotte Aten
Prerequisites: i) Abstract algebra. ii) Linear algebra. iii) Good
python programming skills.
Link
to a description of possible projects:
Tripods vs StemForAll2023:
If you are a U.S. citizen or a permanent resident, and a student at
the University of Rochester, Cornell, or another Rochester area
college or a university, you are eligible to apply to this program
under the auspices of the National Science Foundation Tripods grant.
If you are accepted, you will receive a $1600 stipend. If you are
not a citizen or a permanent resident, you are eligible to apply to
this program under the auspices of StemForAll2023. Limited financial
support is available for StemForAll2023 participants as well.