We know how to compute the density of the bars in the $0$-dimensional persistence diagram for a trajectory of the standard Brownian motion with constant drift $m$, – it is given by\[\frac{4m^2e^{-2m\Delta}(1+e^{-2m\Delta})}{(1-e^{-2m\Delta})^3},\] But what about other drifts? Luckily, we have the theory of scale functions for general Brownian motions (i.e., the processes on the real […]
depth poset for trajectories of Brownian motions Read More »
A recent announcement on Truth Social reads: “All Federal Funding will STOP for any College, School, or University that allows illegal protests, Agitators will be imprisoned/or permanently sent back to the country from which they came. American students will be permanently expelled or, depending on on the crime, arrested. NO MASKS!” As usual, this is
From the letter ACLU of Illinois sent today to the U of I leadership: The SJP actions aside, is the ACLU of Illinois of the opinion that compulsory “trainings” of the students (and faculty and staff) multiple steps removed from a controversy is a punishment? a disciplinary action? I have some news for them…
ACLU of Illinois thinks mandatory trainings are a form of punishment Read More »
Ali Belabbas proved the following clever result. Consider a Riemannian manifold \(M^m\), and the gradient flow of a generic function \(f\). Then the \(\omega\)-limit of a trajectory starting near a local maxima (i.e., with the starting point drawn from a density \(\lambda^mf(\lambda x)dx\)), consists, with asymptotic certainty as \(\lambda\to\infty\), of at most two local minima
a tale of two whiskers Read More »
This letter was sent on May 23 to the University leadership.
open letter to the Board of Trustees Read More »
This year, following the GAC recommendations, the department named fellowships go to:
graduate student fellowships Read More »
Di Liu and Qihang Sun are sharing Bateman Prize (Number Theory) Philippe Tondeur Dissertation Prize is shared by Shiliang Gao and Qihang Sun Wolfgang Haken Prize in Geometry and Topology goes to Jason Liu Kuo-Tsai Chen Prize in Mathematics is awarded to Hanna Kim. Congratulations!
department graduate prizes for 2023 Read More »
NB: This is a slightly edited repost from about a year ago. ‘Tis the season: applications to our PhD program in mathematics are in (500+ this year, again), and the delicate process starts, at the end of which we will be richer with a dozen or two of bright graduate students. Here’s what is going
graduate program admission: pipe and timeline Read More »
A week or so ago I asked Math graduate students the following: The Climate, Equity and Inclusion Committee of the department of mathematics wants to ask the Office for Access and Equity to conduct mandatory in-person anti-sexual harassment training workshops. For now, it is intended just for the incoming graduate students in our program. This
news of the day: the mandatory workshop poll results Read More »
Update (12.7.23): The University’s budget request for the next year includes \$40 million in ‘cost escalations’ for the Altgeld/Illini Halls project. I understand these funds are coming on top of the planned \$192 million. To bring some context, these money would be enough to fund increasing the salaries of our graduate students by 50% for
news of the day: the AH&IH project Read More »
