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Publications » Publications - 2021

Publications - 2021


 

A Resource Bank for Writing Intensive Mathematics Courses

DeDieu, Lauren, Smith, Jerrod, Golubeva, Kimberly and Bagshaw, Christian
 

Arthur packets for p-adic groups by way of microlocal vanishing cycles of perverse sheaves, with examples

Cunningham, Clifton, Moussaoui, Ahmed, Mracek, James, Fiori, Andrew and Xu, Bin

In this article we propose a geometric description of Arthur packets for p-adic groups using vanishing cycles of perverse sheaves. Our approach is inspired by the 1992 book by Adams, Barbasch and Vogan on the Langlands classification of admissible representations of real groups and follows the direction indicated by Vogan in his 1993 paper on the Langlands correspondence. Using vanishing cycles, we introduce and study a functor from the category of equivariant perverse sheaves on the moduli space of certain Langlands parameters to local systems on the regular part of the conormal bundle for this variety. In this article we establish the main properties of this functor and show that it plays the role of microlocalization in the work of Adams, Barbasch and Vogan. We use this to define ABV-packets for pure rational forms of p-adic groups and propose a geometric description of the transfer coefficients that appear in Arthur's main local result in the endoscopic classification of representations. This article includes conjectures modelled on Vogan's work, including the prediction that Arthur packets are ABV-packets for p-adic groups. We gather evidence for these conjectures by verifying them in numerous examples.
 

Bayesian analysis of restricted penalized empirical likelihood

Bayati, Mahdieh, Ghoreishi, Seyed Kamran and Wu, Jingjing
 

Development of a simple equivalent tornado wind profile for structural design and evaluation

Huang, Qian, Jiang, Wenjun and Hong, Hanping
 

Empirical estimates for heteroscedastic hierarchical dynamic normal models

Ghoreishi, Seyed Kamran and Wu, Jingjing
 

JUST: MATLAB and Python Software for Change Detection and Time Series Analysis

Ghaderpour, Ebrahim
 

kTWAS: integrating kernel-machine with transcriptome-wide association studies improves statistical power and reveals novel genes

Cao, Chen, Kwok, Devin, Edie, Shannon, Li, Qing, Ding, Bowei, Kossinna, Pathum, Campbell, Simone, Wu, Jingjing, Greenberg, Matthew and Long, Quan
 

Lattice-based hedging schemes under GARCH models

Augustyniak, Maciej, Badescu, Alexandru and Guo, Zhiyu
 

Linear periods and distinguished local parameters

Smith, Jerrod
 

On Non-negative Equity Guarantee Calculations with Macroeconomic Variables Related to House Prices

Badescu, Alexandru, Quaye, Enoch and Tunaru, Radu
 

On the computation of hedging strategies in affine GARCH models

Augustyniak, Maciej and Badescu, Alexandru
 

Pareto-optimal reinsurance policies with maximal synergy

Jiang, Wenjun, Hong, Hanping and Ren, Jiandong
 

Power analysis of transcriptome-wide association study: implications for practical protocol choice

Cao, Chen, Ding, Bowei, Li, Qing, Kwok, Devin, Wu, Jingjing and Long, Quan
 

Restricted empirical likelihood estimation for time series autoregressive models

Bayati, Mahdieh, Ghoreishi, Seyed Kamran and Wu, Jingjing
 

The cup-length of Stiefel and projective Stiefel manifolds

Korbas, Julius, Scheidler, Renate and Zvengrowski, Peter
 

The support of closed orbit relative matrix coefficients

Smith, Jerrod
 

Tornado wind hazard mapping and equivalent tornado design wind profile for Canada

Hong, Hanping, Huang, Qian, Jiang, Wenjun, Tang, Qian and Jarret, P
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