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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.Show Less
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Courses
- TPTheory of Probability
- TSTheory of Statistics
- IODEIntroduction to Ordinary Differential Equations
- ISMIntroduction to Statistical Methods
Grants
- Natives Who Code: Creating New Stories - Creating Career Pathways
Key Personnel (KP)
2022
$500.0K
Active - Enhancing Pathways to PhD in the Mathematical Sciences
Co-Investigator (COI)
2021
$150.0K
Active - TRIPODS: UA-TRIPODS - Building Theoretical Foundations for Data Sciences
Co-Investigator (COI)
2017
$1.4M
- The Sixth International Conference on Mathematical Modeling and Analysis of Populations in Biological Systems
Co-Investigator (COI)
2017
$18.0K
- 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
- Variable patterns of mutation density among NaV1.1, NaV1.2 and NaV1.6 point to channel-specific functional differences associated with childhood epilepsy.
2020
- 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
- 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
- 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