Alexander Smith

About

Alexander Smith is a mathematician specializing in number theory, with a particular focus on the distribution of Selmer groups in twist families and their applications to major conjectures such as the Cohen-Lenstra-Gerth heuristics and Goldfeld's conjecture. He is recognized for his significant contributions to understanding the behavior of \( \ell^\infty \) Selmer groups in degree \( \ell \) twist families, work that has been accepted for publication in the Journal of the American Mathematical Society. His research also explores the connections between Selmer groups, class groups, and conjectures in arithmetic geometry, including the Birch and Swinnerton-Dyer conjecture and its implications for Goldfeld's conjecture. Smith has collaborated with other mathematicians on topics such as the Cassels-Tate pairing for finite Galois modules and the distribution of congruent numbers, demonstrating a broad engagement with deep problems in algebraic number theory and arithmetic statistics. Beyond Selmer groups, Smith's research extends to problems involving algebraic integers and abelian varieties, including the distribution of algebraic integers with prescribed conjugate distributions and the construction of abelian varieties of prescribed order over finite fields. His work has appeared in prestigious journals such as the Annals of Mathematics and Mathematics of Computation. Additionally, he has contributed to the study of the Schur-Siegel-Smyth trace problem and has ongoing projects…

Research topics

• Artificial Intelligence
• Internal medicine
• Computer Science
• Medicine
• Urology
• Pathology
• Radiology
• World Wide Web
• Biology

Selected publications

• Proteinuria Trajectory and Disease Progression in Children and Adults with IgA Nephropathy/Vasculitis

  Clinical Journal of the American Society of Nephrology · 2025-04-10 · 14 citations

  article

  Key Points Defining risk of kidney function loss in IgA nephropathy and IgA vasculitis with nephritis is important for patient counseling and risk-based enrollment of clinical trials. Proteinuria trajectory over 2 years can uniquely identify patients at risk of loss of kidney function or kidney failure. Children and adults with the highest levels of proteinuria had a higher risk of progressive kidney disease compared with those with intermediate levels. Background Identifying patients with IgA n…

  PublisherDOI

• Cross-Sectional Associations of Depressive Symptoms, Anxiety Symptoms, and Emotional Support Seeking with Lower Urinary Tract Symptoms and Bladder Health

  International Urogynecology Journal · 2025-09-01 · 3 citations

  articleOpen access
  PublisherOA PDFDOI

• Clinical Outcomes in the Nephrotic Syndrome Study Network: Disease Burden and Treatment Patterns over Time

  Glomerular Diseases · 2025-06-05 · 2 citations

  articleOpen access

  Introduction: Among patients with proteinuric glomerular diseases, there is a paucity of high-quality evidence and substantial variation in practice patterns among nephrologists. Our objective was to describe the clinical presentation, treatment patterns, and outcomes of patients with biopsy-proven glomerular diseases in a contemporary, well-phenotyped, diverse cohort. Methods: The Nephrotic Syndrome Study Network (NEPTUNE) is a prospective observational cohort study of children and adults with…

  PublisherOA PDFDOI

• #1721 Proteinuria as a clinical trial endpoint in focal segmental glomerulosclerosis: validation of PARASOL findings in RaDaR

  Nephrology Dialysis Transplantation · 2025-10-01 · 2 citations

  article1st authorCorresponding

  Abstract Background and Aims Focal segmental glomerulosclerosis (FSGS) is a rare condition that affects children and adults, lacks any approved therapy, and has a high risk of progression to kidney failure (KF). The PARASOL consortium was set up to establish evidence to inform adoption of feasible and clinically meaningful surrogate endpoints for FSGS clinical trials. Method PARASOL combined 9 registries of biopsy-proven or genetic FSGS patients from North America and Europe. Eligible participan…

  PublisherDOI

• Elevated exposure to air pollutants accelerates primary glomerular disease progression

  Clinical Kidney Journal · 2025-05-13 · 1 citations

  reviewOpen access

  Air pollution is a global problem and a major contributor to adverse health outcomes in patients of all ages. Most research has focused on the adverse effects of air pollution on cardiopulmonary events such as myocardial infarction, stroke and lung disease, with less attention given to kidney outcomes. In recent years, there is emerging evidence that air pollution contributes to the onset and progression of chronic kidney disease and, specifically, glomerular disease. This has been confirmed in…

  PublisherOA PDFDOI

Recent grants

• Enhanced Clinical Decisions for Management of Benign Prostatic Hyperplasia Using Patient-Reported Outcomes

  NIH · $715k · 2025–2027

Frequent coauthors

• Jarcy Zee

  Children's Hospital of Philadelphia

  142 shared

• Brenda W. Gillespie

  138 shared

• Lawrence B. Holzman

  University of Pennsylvania

  117 shared

• Laura Barisoni

  Duke University

  97 shared

• Avi Z. Rosenberg

  Johns Hopkins Medicine

  81 shared

• Laura H. Mariani

  University of Michigan–Ann Arbor

  80 shared

• Jeffrey B. Hodgin

  University of Michigan–Ann Arbor

  78 shared

• Robert M. Merion

  University of Michigan–Ann Arbor

  76 shared

Education

• PhD, Biostatistics

  University of Michigan

  2016

Similar researchers at Northwestern University

• David Leeh-62
• Ezra Getzlerh-40
• Ben Weinkoveh-28