Metric Geometry Team
Independent Research with Professor Sormani in Winter-Spring 2020
References:
[BBI] Burago-Burago-Ivanov's A Course in Metric Geometry
[S-CoM] Spivak Calculus on Manifolds
[M-GMT] Morgan Geometric Measure Theory
[AK] Ambrosio-Kirchheim Currents on Metric Spaces
[SW] Sormani-Wenger Intrinsic Flat Convergence
Continuing from the January 2019 Course/Research Project on GH Convergence of Smocked Metric Spaces we now study some Geometric Measure Theory and the GH and SWIF Convergence of Smocked Metric Spaces completing additional papers with smaller team of students.
Winter Semester:
Tue Jan 7 11-3 in C415A in the GC basement
11 am: Lecture
Open Problems on Smocked Metric Spaces and GH convergence
by Dr. Demetre Kazaras
12-3 pm: meetings with teams to organize their research projects and meeting times.
New teams will be formed. Dr. Brian Allen will be here today as well.
Wed Jan 8 11-3 in Science Center 4102 on the GC 4th floor
11-1 pm: Teams will work
1-2 pm: Meetings in teams with Prof Sormani
2 pm: Lecture
An Introduction to Warped Product Spaces and Intrinsic Flat Convergence
by Dr. Brian Allen
Th-Fr Jan 9-10
Teams may meet without Prof Sormani in the math lounge or elsewhere
Mon Jan 13 11-3 in Science Center 4102 on the GC 4th floor
11-1 pm Teams will work
1-2 pm Meetings in teams with Prof Sormani
2 pm: No Lecture
Tu-Mon Jan 14-20
Teams may meet without Prof Sormani in the math lounge or elsewhere
Note Dr. Jorge Basilio will be available Jan 18-Jan 22.
Mon Jan 20 Martin Luther King Day no meetings
Tue Jan 21 11-3 in C415A in GC basement
11-2pm Meetings in teams with Prof Sormani
2 pm Lecture
Sewing Riemannian Manifolds
by Dr. Jorge Basilio
Wed Jan 22 11-3 in C415A in GC basement
11-2pm Meetings in teams with Prof Sormani
2 pm: Lecture
Riemannian Metrics Curvature and Geodesics
by Prof Sormani
Th-Fr Jan 23-24
Teams may meet without Prof Sormani
Spring Semester
SB Team meets at Stony Brook on Fridays 1-2 pm
Lehman Team meets at Lehman on Wednesdays 8-9 pm
POSTPONED DUE TO PANDEMIC
Research Teams:
Victoria Antonetti (Lehman, Princeton)
Maziar Farahzad (Stony Brook)
Ajmain Yamin (Stony Brook)
Hindy Drillick (Stony Brook, Columbia)
Julinda Pillati Mujo (Lehman)
Other Participants:
Moshe Dinowitz (Stony Brook, CUNYGC)
Demetre Kazaras (Stony Brook, SCGP)
Brian Allen (Hartford)
Jorge Basilio (Pasadena City College)
Hollis Williams (Warwick) not present but working on Problem 10.8
Address by Prof. Sormani at the MAA Metropolitan New York Annual Meeting 2019.
Talk by the students at the Lehigh Geometry and Topology Conference in 2019
Talk by the students at the NYC Math Alliance in 2019
The research by some of the participants in this workshop is supported by the National Science Foundation through Prof Sormani’s research grant NSF DMS1612049. Funding for undergraduate and masters students comes from Professor Sormani’s private funding sources.
add links to resulting research and images from googledoc