Special Preenrollment Program in Mathematics at Rutgers
SPP 2018  A special program for entering PhD graduate students
The lectures, problem sessions and Written Exams will be in classroom Hill 705. Breakfast and Lunch, when provided, will be available in the lounge, Hill 703.
The format of the program will be two threehour modules each day, on analysis related and algebra related topics respectively. Prof. Chris Woodward will teach the analysis topics from 9:30am to 11:30am, with Graduate Assistant Chloe Wawrzyniak taking over from 11:30am to 12:30pm. Prof. Anders Buch will teach the algebra topics from 2:00pm to 4:00pm, with Graduate Assistant Jason Saied taking over from 4:00pm to 5:00pm.
A few talks by current graduate students will also be included in the afternoon session of Friday, August 24, to give an idea of the dissertation research being done at Rutgers.
It is also an opportunity for new students to meet each other and to get acquainted with some faculty members and continuing graduate students.
The lectures and problem sessions will be in Hill 705. Breakfast and Lunch, when provided, will be available in the lounge, Hill 703.
Monday, August 20
 9:00 – 9:30AM : Breakfast (provided)
 9:30 – 11:20AM : Analysis Lecture
 11:30 – 12:30PM : Analysis Problem Session
 12:30 – 1:00PM : Lunch (provided) and Break
 1:00 – 1:15pm: Meet with Technology Staff in Room 705  Emails, computers, photos.
 1:15  2:00PM : Administrative Stuff (keys, photos, etc.)
 2:00 – 3:50PM : Algebra Lecture
 4:00 – 5:00PM : Algebra Problem Session
Tuesday, August 21
 9:30 – 11:20AM : Analysis Lecture
 11:30 – 12:30PM : Analysis Problem Session
 12:30 – 2:00PM : Lunch and Break
 2:00 – 3:50PM : Algebra Lecture
 4:00 – 5:00PM : Algebra Problem Session
Wednesday, August 22
 9:30 – 11:20AM : Analysis Lecture
 11:30 – 12:30PM : Analysis Problem Session
 12:30 – 2:00PM : Payroll Onboarding Process for TA's (Hill Room 313); Lunch and Break
 2:00 – 3:50PM : Algebra Lecture
 4:00 – 5:00PM : Algebra Problem Session
Thursday, August 23
 9:30 – 11:20AM : Analysis Lecture
 11:30 – 12:30PM : Analysis Problem Session
 12:30 – 2:00PM : Lunch and Break
 2:00 – 3:50PM : Algebra Lecture
 4:00 – 5:00PM : Algebra Problem Session
Friday, August 24
 9:30 – 11:20AM : Analysis Lecture
 11:30 – 12:30PM : Analysis Problem Session
 12:30 – 2:00PM : Lunch (provided) meeting with current students : "What every Math grad student should know"
 2:00 – 3:50PM : Algebra Lecture
 4:00 – 4:20PM : Student Research Glimpse #1 Speaker : Chloe Wawrzyniak
 Title: CR Geometry: Complex Structures on Real Manifolds
 Abstract: We will discuss complex (CR) structure on real manifolds sitting in complex nspace. Specifically, we will look at the standard nsphere, and discuss where its complex structure has singularities and how this affects behavior of functions there. We will use this context to discuss my recent work on global holomorphic hulls of such manifolds using analytic discs. No prior experience with holomorphic functions is assumed.
 4:30 – 4:50PM : Student Research Glimpse #2 Speaker : Jinyoung Park

Title: Problems on hypercubes

Abstract: A hypercube is an ndimensional analogue of a cube. In graph theory, the ndimensional hypercube is a graph whose vertices are binary strings of length n and two vertices are adjacent iff they differ in exactly one coordinate. In this talk, we will look at some graph theoretic properties of hypercubes, and discuss a few problems starting from Dedekind’s problem.
 5:00 – 5:20PM : Student Research Glimpse #3 Speaker : Weihong Xu

Title: A classical problem in Schubert calculus
 Abstract: This will be an expository talk aimed at giving you a taste of Schubert calculus, a branch of algebraic geometry. I will present an elementary solution using projective geometry to the classical problem “given 4 lines in C^3 in general position, how many lines intersect all of them”. If time permits, I will introduce more general tools for studying problems of this kind.
 5:30 – 630PM : Board Games
 6:30PM  : Graduate Student Welcome Meeting (Food and drinks provided)
Monday, August 27
 9:00 – 10:50AM : Algebra Problem Session (also discuss questions related to the Algebra Written Quals);
 11:00AM – Noon : Problem Session related to the Analysis Written Quals;
 Noon – 1:00PM : Lunch and Break
 1:00 – 3:00PM : New Student Orientation: Graduate School, Rutgers Student Center Multipurpose Room, College Avenue Campus, 126 College Avenue, New Brunswick, NJ
Tuesday, August 28
 9:30 – 10:30AM : For International: Students Staying in Legal Status in the US Workshop, Scott Hall, Room 123, 43 College Avenue, New Brunswick, NJ
 10:30 – 3:00PM : For International Students: Social Security Number (SSN) Applications Social Security Office 550 Jersey Avenue, Suite 200 New Brunswick, NJ. Note : Students attending the Workshop at Van Dyck Hall will receive transport to the office directly by bus
 12:30 – 2:30PM : Lunch and Break
 3:00  5:00 PM: Algebra Written Quals
Wednesday, August 29
 8:30 – 12:00PM : For International Students (only)  Teaching Assistant Orientation, Rutgers Student Center Multipurpose Room, College Avenue Campus, 126 College Avenue, New Brunswick, NJ
 12:00 – 2:30PM : Lunch & Break
 3:00 – 5:00PM : Complex Variables and Advanced Calculus Written Quals
Thursday, August 30
 8:00 – 1:15PM : For Domestic & International Students  Teaching Assistant Orientation, Rutgers Student Center Multipurpose Room, College Avenue Campus, 126 College Avenue, New Brunswick, NJ
 1:15 – 2:30PM : Lunch & Break
 3:00 – 5:00PM : Real Variables and Elementary PointSet Topology Written Quals
Friday, August 31
 12:00 – 1:00PM : Math Department Welcome Lunch (provided)
 1:00 – 1:30PM : Introduction to Library Resources  Room 705
 1:30 – 4:00PM : Administrative Stuff Free Time
Tuesday, September 4 : Classes Begin!