Pranav Pandit

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First and foremost, I would like to thank my advisor Tony Pantev for his continuous support throughout my graduate studies. His enthusiasm for mathematics has been contagious and his patience at all times has been more than I could have asked for. Starting with his excellent lectures that I attended in my first few years in this program and continuing with(More)
Q fever, a worldwide zoonotic disease caused by Coxiella burnetii, is a looming concern for livestock and public health. Epidemiological features of inter-herd transmission of C. burnetii in cattle herds by wind and trade of cows are poorly understood. We present a novel dynamic spatial model describing the inter-herd regional spread of C. burnetii in dairy(More)
In a continuation of our previous work [20], we outline a theory which should lead to the construction of a universal pre-building and versal building with a φ-harmonic map from a Riemann surface, in the case of two-dimensional buildings for the group SL 3. This will provide a generalization of the space of leaves of the foliation defined by a quadratic(More)
We prove an equivalence between the derived category of a variety and the equivari-ant/graded singularity category of a corresponding singular variety. The equivalence also holds at the dg level. I would like to start by expressing my deep gratitude to my advisor Tony Pantev for his guidance, ideas and support during my studies. He has given me all the(More)
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