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1.
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Let p ≥ 3 be a prime and suppose G is a form of a reductive group, that is compact at infinity and splits at p. Under these assumptions, we can est [...]
2024-08 |
Mathematics |
Dissertation |
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2.
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This thesis is a compilation of two papers that are essentially independent. In Chapter One, we first introduce the development of Anderson localization and its relevance [...]
2024-08 |
Mathematics |
Dissertation |
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3.
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We study the ramification on the cohomology of a smooth proper surface $X$ in mixed characteristic, when $X$ degenerates to a surface over $\overline{\mathbb{F}}_p$ with [...]
2024-08 |
Mathematics |
Dissertation |
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4.
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This thesis studies various problems that arise in the study of Mean Field Games and Mean Field Control. First we prove that a hypoelliptic MFG system with local-coupling [...]
2024-08 |
Mathematics |
Dissertation |
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5.
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This thesis details recent results concerning the regularity, well-posedness, and long-time behavior of the first-order mean field games system with a local coupling. Fir [...]
2024-08 |
Mathematics |
Dissertation |
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6.
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Let 𝜉 be an analytic bracket-generating distribution. We show that the subspace of germs that are singular (in the sense of control theory) has infinite codimension [...]
16 June 2024 |
Mathematics |
Article |
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7.
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Let $G$ be a (split) reductive group over $\F_q$, $T$ a maximal torus, $T' \subset T$ a subtorus, and $M = Z_G(T')$ -- a reductive subgroup of $G$. Let $P$ denote a parab [...]
2024-06 |
Mathematics |
Dissertation |
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8.
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This thesis consists of two chapters: The first and primary component is dedicated to the Hitchin morphism for symmetric spaces, which is joint work with B. Morrissey. W [...]
2024-06 |
Mathematics |
Dissertation |
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9.
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This thesis studies the existence of smooth models for fibered partially hyperbolic systems. Fibered partially hyperbolic systems are partially hyperbolic diffeomorphisms [...]
2024-06 |
Mathematics |
Dissertation |
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10.
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Fix a prime number $p>2.$ Let $\rbar:\Gal(\overline{\Q}_p/\Q_p)\to \GL_2(\overline{\F}_p)$ be an absolutely irreducible residual representation. In this paper, we desc [...]
2024-06 |
Mathematics |
Dissertation |
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11.
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In this thesis, we develop a scattering theory for the asymmetric transport observed at interfaces separating two-dimensional topological insulators. Starting from the sp [...]
2024-06 |
Mathematics |
Dissertation |
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12.
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The structure of the Galois group of the maximal unramified extension of a number field has been an object of interest for more than a century now. This thesis is partial [...]
2024-06 |
Mathematics |
Dissertation |
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13.
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In this thesis, we prove existence of global solutions and scattering for systems of quadratic nonlinear Schr\"odinger equations in the critical three-dimensional ca [...]
2024-06 |
Mathematics |
Dissertation |
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14.
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Given a p-complete, animated ring S, we define a filtration on the Nygaard-complete, absolute prismatic cohomology, which we call the r-Nygaard filtration. This is obtain [...]
2024-06 |
Mathematics |
Dissertation |
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15.
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In this thesis, we study the differences between smooth and topological manifolds in the equivariant setting. The central topic will be on smooth structures. Kirby-Sieben [...]
2024-06 |
Mathematics |
Dissertation |
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16.
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This thesis comprises one chapter (plus this introduction) and two appendices. Chapter \ref{computability theory of ec groups} appears, with minor modifications, as a st [...]
2024-06 |
Mathematics |
Dissertation |
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17.
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This thesis consists of four parts. In the first part, we introduce the results, and sketch the ideas behind the proofs. In the second part, we construct genus one singul [...]
2024-06 |
Mathematics |
Dissertation |
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18.
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Radiotherapy is a cancer treatment that uses high-energy X-rays to kill cancer cells. A major challenge in treating cancer is the heterogeneity of the disease. Preclinica [...]
09 May 2024 |
Biological Sciences; Mathematics; Radiation and Cellular Oncology |
Thesis |
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19.
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Our article is motivated by the vanishing condition of minimal volume of closed smooth manifolds $M$ that admit locally homogeneous Riemannian metric.We give a complete c [...]
2024-03 |
Mathematics |
Dissertation |
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20.
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Networks of neurons produce diverse patterns of oscillations, arising from the network's global properties, the propensity of individual neurons to oscillate, or a mix [...]
06 May 2011 |
Mathematics; Pediatrics |
Article |
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21.
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The remarkable advance in sequencing technology and the rising interest in medical and environmental microbiology, biotechnology, and synthetic biology resulted in a d [...]
24 October 2012 |
Computer Science; Mathematics |
Article |
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22.
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To date, variation in nectar chemistry of flowering plants has not been studied in detail. Such variation exerts considerable influence on pollinator–plant interacti [...]
01 May 2015 |
Computer Science; Mathematics |
Article |
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23.
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Neuronal avalanches are a form of spontaneous activity widely observed in cortical slices and other types of nervous tissue, both in vivo and in vitro
08 July 2010 |
Mathematics; Pediatrics |
Article |
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24.
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In 1974, Gugenheim and May showed that the cohomology $\Ext_A(R,R)$ of a connected augmented algebra over a field $R$ is generated by elements with $s = 1$ under matric M [...]
2023-12 |
Mathematics |
Dissertation |
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25.
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We establish an analogy between the Fokker–Planck equation describing evolutionary landscape dynamics and the Schrödinger equation which characterizes quantum mechanic [...]
31 October 2023 |
Mathematics |
Article |
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