Daniel Alvey
Trinity College • 300 Summit Street • Hartford, CT 06106 daniel.alvey@trincoll.edu • Office: MECC 265 • (203) 617 - 8896
Education
Ph.D., Mathematics Wesleyan University, May 2021 Advisor: Dr. Felipe Ram´ırez
B.S., Mathematical Sciences United States Military Academy, 2007 – 2011
Undergraduate Thesis: “Zeros of Random Dirichlet Series”
Advisor: Dr. Brian Macdonald
Teaching Experience
Visiting Assistant Professor, Trinity College
Fall 2021 MATH 131: Calculus I
Fall 2021 MATH 107: Elements of Statistics Visiting Instructor, Wesleyan University
Fall 2020 MATH 119: Elements of Calculus, Part I Spring 2020 MATH 132: Elementary Statistics Spring 2019 MATH 132: Elementary Statistics Graduate Teaching Assistant, Wesleyan University
Spring 2021 MATH 232: Mathematical Statistics
Summer 2020 MATH 123F: Mathematical Deduction with Calculus Fall 2019 MATH 132: Elementary Statistics
Fall 2018 MATH 226: Complex Analysis Spring 2018 MATH 222: Multivariable Calculus
Fall 2017 MATH 221: Vectors and Matrices Spring 2017 MATH 222: Multivariable Calculus
Fall 2016 MATH 223: Linear Algebra Volunteer Instructor, Danbury Grassroots Academy
May 2017 – Present After school and online small group instructor for homework help; Organized and led SAT preparation classes
Research Interests
My research interests are in homogeneous dynamics and its applications to metric number theory. In particular, I am interested in the Diophantine properties of subspaces of Euclidean space.
Presentations
Alvey, Daniel.“Irrationally rotating a circle: the rational thing to do!” Math department seminar, Manhattan College, February 2021.
Alvey, Daniel. “What is...metric number theory?” What is...a seminar?, Virtual seminar,
Alvey, Daniel. “Approximation on Affine Subspaces: A Khintchine Type Result.” AMS Special Session on Continued Fractions, II, Joint Mathematics Meetings (JMM), to be held virtually January 2021.
Alvey, Daniel. “Khintchine types of affine subspaces.” Midwest Dynamical Systems Early Career Conference, November 2020.
Alvey, Daniel. “A Khintchine type theorem for affine subspaces.” Topology et al. Seminar, Wesleyan University, April 2020.
Alvey, Daniel. “A divergence Khintchine type theorem for affine subspaces.” Graduate Student Seminar, Wesleyan University, November 2019.
Alvey, Daniel. “Diophantine properties of subspaces of Euclidean space.” Dynamics and Analysis Seminar, Wesleyan University, April 2019.
Alvey, Daniel. “Diophantine properties of subspaces of Euclidean space.” Graduate Student Seminar, Wesleyan University, April 2019.
Alvey, Daniel. “A dynamical approach to questions in number theory.” Graduate Student Seminar, Wesleyan University, November 2018.
Alvey, Daniel. “Furstenberg’s conjecture and entropy.” Graduate Student Seminar, Wesleyan University, April 2018.
Alvey, Daniel. “Shaken, not stirred? Differences between ergodic and mixing transformations.” Graduate Student Seminar, Wesleyan University, November 2017.
Alvey, Daniel. “Zeros of random Dirichlet series.” United States Military Academy Projects Day, April 2011.
D. C. Alvey, K. D. Morton, Jr., R. S. Harmon, J. L. Gottfried, and M. A. Wise. “Rapid analysis and discrimination of minerals by broadband libs: The example of garnet.” NASLIBS, July 2009.
Alvey, Daniel. “Compositional and geographic classification of garnets using laser-induced breakdown spectroscopy (LIBS).” National Conferences on Undergraduate Research (NCUR), April 2009.
Publications
Alvey, Daniel C. “A Khintchine type theorem for affine subspaces.” The International Journal of Number Theory, 0(0):1-19, 2021.
Alvey, D. C., Morton, K., Harmon, R. S., Gottfried, J. L., Remus, J. J., Collins, L. M., &
Wise, M. A. “Laser-induced breakdown spectroscopy-based geochemical fingerprinting for the rapid analysis and discrimination of minerals: the example of garnet.” Applied Optics, 49(13), 2010, C168-C180.
Publications in Progress
Alvey, Christina & Alvey, Daniel. “An Introduction to Differential Equations with Topics in Mathematical Biology.” Textbook proposal with three complete chapters submitted to Springer, October 2020.
Attended Conferences
June 2021 Diophantine Analysis and Related Topics – Virtual January 2021 Joint Mathematics Meetings – Virtual
October 2020 Workshop in Dynamical Systems and Related Topics – Penn State University (virtual conference)
July 2020 REMOTE: The Connected Faculty Summit – Arizona State University (virtual conference)
April 2019 Workshop in Dynamical Systems and Related Topics – University of Maryland
January 2019 Joint Mathematics Meetings – Baltimore
October 2018 Workshop in Dynamical Systems and Related Topics – Penn State University July 2009 North American Symposium on Laser Induced Breakdown Spectroscopy –
New Orleans
April 2009 National Conferences on Undergraduate Research – University of Wisconsin, LaCrosse
Awards and Honors
May 2016 The Army Commendation Medal
Awarded for exceptional meritorious service as a Brigade Assistant Operations Officer.
May 2015 Promoted to Captain, U.S. Army February 2014 The Army Commendation Medal
Awarded for exceptional meritorious service as a Platoon Leader.
April 2013 The Army Commendation Medal
Awarded for exceptional service in support of Operation Enduring Freedom.
March 2013 Knight in the Order of Saint George, Black Medallion Awarded by the U.S. Cavalry & Armor Association.
November 2012 Promoted to First Lieutenant, U.S. Army 2010 – 2011 President of West Point Philosophy Forum
Responsible for organizing activities and inviting guest speakers.
Fall 2010 International Tutor Training Program Certification (ITTPC) Completed certificate through College Reading & Learning Association (CRLA).
July 2009 Academic Individual Advanced Development Program (AIAD) Research experience at Argonne National Laboratory.
May 2009 Top Gun Award, United States Military Academy
Awarded to the Cadet with the highest grade average in MA 385 Chaos and Fractals.
February 2009 Mathematical Contest in Modeling (MCM)
Experience in the U.S. Army
March 2015 Assistant Brigade Operations Officer, 194th Armor Brigade – May 2016 Headquarters
Responsible for planning, resourcing, executing, and improving the daily operations within the brigade, synchronizing efforts across the brigade in support of the Armor Commandant and Maneuver Center of Excellence directed initiatives.
August 2014 Troop Executive Officer, Fox Troop, 5-15 Cavalry Squadron, – March 2015 194th Armor Brigade
Responsible for the coordination and resourcing of the Troop’s annual classes for 500 Cavalry Scouts, the management of the Commander’s property book valued over $40 Million, and for the training, morale, welfare and discipline of five enlisted Soldiers and one civilian training tech.
Additional duties include: Arms Room, Supply, Environmental Compliance, Maintenance, Voting Assistance, and Safety Officer.
April 2014 Company Executive Officer, Reception and Hold Unit, – August 2014 30th Adjutant General Battalion, 194th Armor Brigade
Responsible for the daily planning and coordination of logistical sustainment for 14 cadre and over 100 Trainees in a Unit that transitions more than 3,000 Initial Entry Training (IET) Soldiers to civilian life per year. Managed property and accounts valued in excess of $2 Million.
January 2013 Platoon Leader, Alpha Troop, 2-1 Cavalry Squadron, – April 2014 4-2 Stryker Brigade Combat Team
Responsible for the training, development, discipline, health, welfare, morale, and battle readiness of 19 Soldiers. Accountable for equipment valued in excess of $6 Million, including the maintenance and functionality of 6 vehicles. Responsible for the redeployment from Afghanistan of the Alpha Troop Property Book, valued in excess of $75 Million.
November 2012 Deployed in support of Operation Enduring Freedom, – June 2013 Zabul, Afghanistan
April 2012 Platoon Leader, Bravo Troop, 2-1 Cavalry Squadron, – January 2013 4-2 Stryker Brigade Combat Team
Responsible for the accountability, maintenance, readiness, and tactical employment of four Stryker vehicles and associated equipment, valued in excess of $10 million; and, for the planning, implementation, and evaluation of training designed to develop leadership, cohesion, tactical and technical proficiency within the platoon.
May 2011 Second Lieutenant, Armor Basic Officer Leader Course,
– April 2012 Lightning Troop, 2-16 Cavalry Squadron, 3-16 Cavalry Brigade
Professional Affiliations
2020 – present National Association of Mathematicians (NAM) 2016 – present American Mathematical Society (AMS)
2016 – present Association for Women in Mathematics (AWM) 2014 – 2017 The U.S. Cavalry & Armor Association
2011 – 2012 Pi Mu Epsilon Mathematics Honor Society
2007 – 2011 West Point Philosophy Forum
