6 papers
Distinguished standard modules for
Alan Xuelun Hou, Tudor Popescu
We characterize the standard modules of $\GL_{2m}(\C)$ that are distinguished by $\GL_m(\HH)$. Let be characters of . Assume that $S = δ_1 \t…
Matchings with Prescribed Color Counts
Tudor Popescu
In this note, we prove an interesting result about perfect matchings in a complete bipartite graph with 2n vertices on each side, whose edges are colored in red and blue such that…
Walking to Infinity on the Fibonacci Sequence
Steven J. Miller, Fei Peng, Tudor Popescu +1
An interesting open problem in number theory asks whether it is possible to walk to infinity on primes, where each term in the sequence has one more digit than the previous. In thi…
Modeling Random Walks to Infinity on Primes in
Bencheng Li, Steven J. Miller, Tudor Popescu +2
An interesting question, known as the Gaussian moat problem, asks whether it is possible to walk to infinity on Gaussian primes with steps of bounded length. Our work examines a si…
Filtering cohomology of ordinary and Lagrangian Grassmannians
The 2020 Polymath Jr. REU "q-binomials, the Grassmannian group", : +31
This paper studies, for a positive integer , the subalgebra of the cohomology ring of the complex Grassmannians generated by the elements of degree at most . We build in two…
Walking to Infinity Along Some Number Theory sequences
Steven J. Miller, Fei Peng, Tudor Popescu +3
An interesting open conjecture asks whether it is possible to walk to infinity along primes, where each term in the sequence has one digit more than the previous. We present differ…