KMap
Joseph C. Watkins is Professor of Mathematics and Chair of the Graduate Interdisciplinary Program in Statistics at the University of Arizona. Dr. Watkins has published works in the foundations of the theory of probability and has collaborated extensively with researchers in a variety of the life sciences, notably, genetics, biophysics, anthropology, bacteriology, entomology, and biochemistry. He was recognized in 2009 by the College of Science for his contributions in being named a Galileo Circle Fellow. Dr. Watkins work includes both new results in stochastic modeling and in both the theoretical and practical aspects of statistics. His research interests are broad, from understanding the mechanism of the Africanization of the honeybee to the dynamics of single molecule motors to the ancient structure of human populations in Africa. Dr. Watkins has been a leader at the University of Arizona in the interdisciplinary training at the biology/math interface both at the undergraduate and graduate level. He has been a co-investigator for an IGERT training grant and is a member of the steering committee for an NIH training grant housed in an Applied Mathematics Program. In addition, Dr. Watkins serves as the chair of the Undergraduate Biology Research Program’s Biomath Committee.

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Courses
  • TP
    Theory of Probability

  • TS
    Theory of Statistics

  • IODE
    Introduction to Ordinary Differential Equations

  • ISM
    Introduction to Statistical Methods

Grants
  • Funding agency logo
    Natives Who Code: Creating New Stories - Creating Career Pathways

    Key Personnel (KP)

    2022

    $500.0K
    Active
  • Funding agency logo
    Enhancing Pathways to PhD in the Mathematical Sciences

    Co-Investigator (COI)

    2021

    $150.0K
    Active
  • Funding agency logo
    TRIPODS: UA-TRIPODS - Building Theoretical Foundations for Data Sciences

    Co-Investigator (COI)

    2017

    $1.4M
  • Funding agency logo
    The Sixth International Conference on Mathematical Modeling and Analysis of Populations in Biological Systems

    Co-Investigator (COI)

    2017

    $18.0K
  • Funding agency logo
    Dwight David Eisenhower Transportation Fellowship Program Graduate Fellowship

    Principal Investigator (PI)

    2017

    $4.5K
News
  • The Marriage of Biology and Math

    2012

  • Ancient Humans Were Mixing it Up

    2011

  • Undergraduate Biology Research Program Earns $1.8M Grant

    2010

  • College of Science Announces 2009 Galileo Circle Fellows

    2009

  • UA Sophomore Presenting Research to Congressional Members

    2008

Publications (55)
Recent
  • Temporal Associations of Plasma Levels of the Secreted Phospholipase A sub 2 /sub Family and Mortality in Severe COVID-19

    2022

  • Indigenous Language Migration along the U.S. Southwestern Border mdash;the View from Arizona

    2021

  • Indigenous Language Migration along the US Southwestern Border?the View from Arizona

    2021

  • A novel non-linear dimension reduction approach to infer population structure for low-coverage sequencing data

    2021

  • Epidemics from the Eye of the Pathogen

    2021

  • Influence of age at seizure onset on the acquisition of neurodevelopmental skills in an SCN8A cohort

    2019

  • Genomic Evidence of Local Adaptation to Climate and Diet in Indigenous Siberians.

    2019

  • Multi-level Steiner Trees

    2019

  • The Role of Phylogenetically Conserved Elements in Shaping Patterns of Human Genomic Diversity

    2018

  • Modeling SNP array ascertainment with Approximate Bayesian Computation for demographic inference

    2018

  • A de novo missense mutation of GABRB2 causes early myoclonic encephalopathy

    2017

  • Clinical implications of SCN1A missense and truncation variants in a large Japanese cohort with Dravet syndrome

    2017

  • Exome Sequencing Provides Evidence of Polygenic Adaptation to a Fat-Rich Animal Diet in Indigenous Siberian Populations

    2017

  • Rare variants of small effect size in neuronal excitability genes influence clinical outcome in Japanese cases of SCN1A truncation-positive Dravet syndrome

    2017

  • Evaluating IPMN and pancreatic carcinoma utilizing quantitative histopathology

    2016

  • Clinical implications of em SCN1A /em missense and truncation variants in a large Japanese cohort with Dravet syndrome

    2016

  • Abstract A83: Nuclear morphometry differentiates chronic pancreatitis, IPMN, and pancreatic carcinoma

    2015

  • A stochastic model of translation with -1 programmed ribosomal frameshifting

    2014

  • Evidence for increased levels of positive and negative selection on the X chromosome versus autosomes in humans

    2014

  • Abstract 1362: Nuclear morphometry measures progressive atypia in the development of pancreatic carcinoma

    2014

  • Neandertal origin of genetic variation at the cluster of OAS immunity genes

    2013

  • Global genetic variation at OAS1 provides evidence of archaic admixture in Melanesian populations

    2012

  • A haplotype at STAT2 Introgressed from neanderthals and serves as a candidate of positive selection in Papua New Guinea

    2012

  • An early divergence of KhoeSan ancestors from those of other modern humans is supported by an ABC-based analysis of autosomal resequencing data

    2012

  • Genetic evidence for archaic admixture in Africa

    2011

  • Convergence time to the Ewens sampling formula in the infinite alleles Moran model

    2010

  • The ratio of human X chromosome to autosome diversity is positively correlated with genetic distance from genes

    2010

  • On a calculus-based statistics course for life science students

    2010

  • Toward Integration: From Quantitative Biology to Mathbio-Biomath?

    2010

  • Male dominance rarely skews the frequency distribution of Y chromosome haplotypes in human populations

    2008

  • Microsatellite evolution: Markov transition functions for a suite of models

    2007

  • Coevolution of languages and genes on the island of Sumba, eastern Indonesia

    2007

  • Balinese Y-chromosome perspective on the peopling of Indonesia: genetic contributions from pre-neolithic hunter-gatherers, Austronesian farmers, and Indian traders

    2005

  • An Indian trader in ancient Bali?

    2004

  • The role of marriage rules in the structure of genetic relatedness

    2004

  • Consistency and fluctuation theorems for discrete time structured population models having demographic stochasticity

    2000

  • Using honey bees to teach mathematics and science to high school students

    2000

  • The foraging activity of honey bees Apis mellifera and non-Apis bees on hybrid sunflowers (Helianthus annuus) and its influence on cross-pollination and seed set

    2000

  • A new mathematical approach predicts individual cell growth behavior using bacterial population information

    2000

  • Organized cell swimming motions in Bacillus subtilis colonies: Patterns of short-lived whirls and jets

    1999

  • Organized Cell Swimming Motions in em Bacillus subtilis /em Colonies: Patterns of Short-Lived Whirls and Jets

    1999

  • Queen developmental time as a factor in the Africanization of European honey bee (Hymenoptera: Apidae) populations

    1998

  • QUEEN DEVELOPMENT TIME AND THE AFRICANIZATION OF EUROPEAN HONEY BEES

    1998

  • Mechanical models for cell movement - Locomotion, translocation, migration

    1997

  • REVIEW OF Lectures on Random Evolutions, by Mark A. Pinsky

    1996

  • A stochastic model for the movement of a white blood cell

    1995

  • Diffusion models for chemotaxis: a statistical analysis of noninteractive unicellular movement

    1991

  • A remark on Kunita's decomposition theorem

    1990

  • Donsker s Invariance Principle for Lie Groups

    1989

  • A companion to the oseledec multiplicative ergodic theorem

    1987

  • Functional central limit theorems and their associated large deviation principles for products of random matrices

    1987

  • A STOCHASTIC INTEGRAL REPRESENTATION FOR RANDOM EVOLUTIONS

    1985

  • Limit theorems for stationary random evolutions

    1985

  • A Central Limit Problem in Random Evolutions

    1984

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