Undergraduate
research in mathematics and related areas
Undergraduate research in mathematics never stops at the University
of Rochester. In addition to summer programs described on this
website, research group are working year-around on topics they are
interesting in. The groups meet in my office, Hylan 909, on Fridays,
1-4 p.m. If you are interested in joining one of the research groups
or starting another one, please come to my office next Friday. If
you have any questions beforehand, please feel free to email me at
iosevich@gmail.com.
Several of my colleagues, both from Rochester and beyond, played a
crucial role in the sucess of this program over the years. Charlotte
Aten, Azita Mayeli, Jonathan Pakianathan and several others made
this program possible and continue to make it possible to this
day.
Buffon Needle Problem Team: This team is investigating the
following question. Let K be a bounded convex set in Euclidean
space. Let p(r,K)$ denotes the probability that if one end of a
needle of length r is dropped in K with equal (uniform) probability,
then the other end is also in K. Last summer, the team proved in two
dimensions that if K has the same perimeter as the disk of radius 1
but is not a disk, then if r is sufficiently small, then
p(r,K)<p(r,disk). They are now investigating some quantitative
analogs of this question and alos pushing into higher dimensions.
Team members: William Hagerstrom (whagerst@u.rochester.edu),
Gabe Hart (ghart3@u.rochester.edu), Tran Duy Anh Le
(tle18@u.rochester.edu), Mark Shneyderman
(mshneyde@u.rochester.edu), Nathan Skerett
(nskerret@u.rochester.edu)
Neural Networks Team: This team is investigating a variety of
aspects of applications of neural networks to retail analytics and
related matters. The team is also going to use neural networks to
approximate numerical solutions to ordinary and partial differential
equations.
Team members: Yuning Ren, Hengyu Pan (hpan8@u.rochester.edu),
Kunxu Song (ksong12@u.rochester.edu), Haixin Tan
(htan10@u.rochester.edu), Xiaoya Tan, Jingwen Xu, Yiling Zou
(yzou17@u.rochester.edu).
Vector Spaces Over Finite Fields Team: The team is going to
investigate a variety of geometric combinatorial problems in vector
spaces over finite fields.
Team members: Anuraag Kumar (akumar48@u.rochester.edu),
Meilin Li (mli93@u.rochester.edy), Aiden Rohrbach
(arohrbac@u.rochester.edu), Svetlana Pack (spack2@u.rochester.edu),
Nathan Shaffer (nshaffe4@u.rochester.edu), June Terzioglou
(bterziog@u.rochester.edu), Terrence Wong (twong15@u.rochester.edu),
Python/Pandas/Tensorflow Learning Materials:
A full course on python YouTube course:
https://www.youtube.com/watch?v=XKHEtdqhLK8
Python tips
https://www.youtube.com/watch?v=C-gEQdGVXbk
Machine learning with python YouTube course:
https://www.youtube.com/watch?v=r-uOLxNrNk8
Recurrent Neural Networks:
https://www.freecodecamp.org/news/the-ultimate-guide-to-recurrent-neural-networks-in-python/