Faculty

Institution

Unit

Venue

David Leep

Professor

University of Kentucky

Affiliations

College of Arts & Sciences

Mathematics

David Leep is currently serving as a College Of Arts & Sciences Professor at University of Kentucky.

Honors

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Experiences

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Education

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David Leep

University of Kentucky

Professor

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mathematics applied mathematics algebraic geometry number theory algebra group theory geometric topology spectral theory analytic number theory abstract algebra algebraic number theory finite fields modern algebra homological algebra function spaces commutative algebra quadratic forms general systems numerical mathematics mathematical sciences ring theory real algebraic geometry universal algebra differential geometry combinatorial theory applied algebra algebraic combinatorics geometry and topology combinatorial optimization lower bounds theoretical mathematics division algebras nonsingular zeros physics finite geometry intermediate representation orthogonal polynomials geometry of numbers galois groups global fields ramified quadratic extensions communication nonlinear analysis canadian studies numerical simulations mathematics education mathematical programming mathematical optimization high energy physics raman spectroscopy curve modeling curve fitting spline (mathematics) norm (mathematics) computational number theory algebraic theory algebraic structures modular forms theoretical analysis algebraic analysis combinatorial games marriage combinatorics on words topological invariants integral geometry lie theory biquaternion algebras quartic extensions singular curve p-adic function fields linear forms nonrigid fields triple linkage quadratic pfister forms index three multiplicative subgroups modulus problem rational mechanic galois theory diophantine analysis

Notable Scholarly Works

Notable Federal Grants

Collaborators

A Correction and Further Improvements to the Chevalley-Warning Theorems. Finite Fields and Their Applications (2024)

David B. LeepRachel L. Petrik

further improvementscomparative analysisapplied mathematicsfinite model theoryfinite fieldsstatistical theoryrisk managementnumerical simulationsspectral theorychevalley-warning theorems

Solubility of Additive Forms of Twice Odd Degree Over ℚ 2 ( 5 ). Journal de Théorie des Nombres de Bordeaux (2024)

Drew DuncanDavid B. Leep

odd degreealgebraic number theoryapplied mathematicsadditive formsanalytic number theorylower boundsmathematicsparticle physicssolution (chemistry)

An Optimal Version of Warning’s Theorem Over the Field of Two Elements. Trends in mathematics (2023)

David B. Leep

numerical analysismathematical optimizationalgebraic number theorytheoretical mathematicsapplied mathematicspure mathematicsgeometry of numberspartial evaluationmathematical analysisnumerical mathematicscomputer sciencefunction spacesanalytic number theorywarning systemnumber theoryoptimal versionmathematicsmathematical sciences

Further Improvements to the Chevalley-Warning Theorems. Finite Fields and Their Applications (2023)

David B. LeepRachel L. Petrik

finite fieldsapplied mathematicschevalley-warning theorems

Solubility of Additive Quartic Forms Over Ramified Quadratic Extensions of ℚ2. International Journal of Number Theory (2022)

Drew DuncanDavid B. Leep

ramified quadratic extensionsalgebraic number theoryanalytic number theoryadditive quartic formsnumber theorymathematics

Hereditarily Non-Pythagorean Fields. Journal of Algebra (2021)

David GrimmDavid B. Leep

mathematicsuniversal algebramodern algebraabstract algebragroup theorynon-pythagorean fieldsgeometric topologyalgebrarepresentation theorydifferential geometryalgebraic geometry

Nonsingular Zeros of Polynomials Defined Over Finite Fields. Communications in Algebra (2021)

Lekbir ChakriDavid B. Leep

applied mathematicsmathematicsalgebraic combinatoricsnonsingular zerosorthogonal polynomialsnumerical mathematicsfunction spacesabstract algebramodern algebrafinite fieldshomological algebraalgebraic topologygeometric topologyalgebralinear algebrageneral systemsspectral theoryalgebraic geometry

Solubility of Additive Forms of Twice Odd Degree Over Ramified Quadratic Extensions of $\Mathbb {Q}_2$. Acta Arithmetica (2021)

Drew DuncanDavid B. Leep

odd degreeramified quadratic extensionsmathematicsadditive formslower boundsalgebraalgebraic geometry

Solubility of Additive Sextic Forms Over $\Mathbb{Q}_2(\Sqrt{-1})$ and $\Mathbb{Q}_2(\Sqrt{-5})$. Publicationes Mathematicae Debrecen (2021)

Drew DuncanDavid B. Leep

algebraic number theoryapplied mathematicspure mathematicsadditive sextic formsmathematicsmathematical sciences

Splitting Quaternion Algebras Defined Over a Finite Field Extension. Journal of Algebra and Its Applications (2020)

Karim Johannes BecherFatma Kader Bi̇ngölDavid B. Leep

finite field extensionapplied mathematicsquaternion algebrasabstract algebragroup theorycommutative algebrafinite fieldshomological algebraapplied algebraalgebraclifford algebraslinear algebra

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David Leep

Professor

University of Kentucky

Affiliations

College of Arts & Sciences

Mathematics

David Leep is currently serving as a College Of Arts & Sciences Professor at University of Kentucky.

Honors

Create free account to unlock more features

Experiences

Create free account to unlock more features

Education

Create free account to unlock more features

David Leep

University of Kentucky

Professor

You can click a keyword to filter the displayed items

Notable Scholarly Works

Notable Federal Grants

Collaborators

A Correction and Further Improvements to the Chevalley-Warning Theorems. Finite Fields and Their Applications (2024)

David B. LeepRachel L. Petrik

further improvementscomparative analysisapplied mathematicsfinite model theoryfinite fieldsstatistical theoryrisk managementnumerical simulationsspectral theorychevalley-warning theorems

Solubility of Additive Forms of Twice Odd Degree Over ℚ 2 ( 5 ). Journal de Théorie des Nombres de Bordeaux (2024)

Drew DuncanDavid B. Leep

odd degreealgebraic number theoryapplied mathematicsadditive formsanalytic number theorylower boundsmathematicsparticle physicssolution (chemistry)

An Optimal Version of Warning’s Theorem Over the Field of Two Elements. Trends in mathematics (2023)

David B. Leep

Further Improvements to the Chevalley-Warning Theorems. Finite Fields and Their Applications (2023)

David B. LeepRachel L. Petrik

finite fieldsapplied mathematicschevalley-warning theorems

Solubility of Additive Quartic Forms Over Ramified Quadratic Extensions of ℚ2. International Journal of Number Theory (2022)

Drew DuncanDavid B. Leep

ramified quadratic extensionsalgebraic number theoryanalytic number theoryadditive quartic formsnumber theorymathematics

Hereditarily Non-Pythagorean Fields. Journal of Algebra (2021)

David GrimmDavid B. Leep

mathematicsuniversal algebramodern algebraabstract algebragroup theorynon-pythagorean fieldsgeometric topologyalgebrarepresentation theorydifferential geometryalgebraic geometry

Nonsingular Zeros of Polynomials Defined Over Finite Fields. Communications in Algebra (2021)

Lekbir ChakriDavid B. Leep

Solubility of Additive Forms of Twice Odd Degree Over Ramified Quadratic Extensions of $\Mathbb {Q}_2$. Acta Arithmetica (2021)

Drew DuncanDavid B. Leep

odd degreeramified quadratic extensionsmathematicsadditive formslower boundsalgebraalgebraic geometry

Solubility of Additive Sextic Forms Over $\Mathbb{Q}_2(\Sqrt{-1})$ and $\Mathbb{Q}_2(\Sqrt{-5})$. Publicationes Mathematicae Debrecen (2021)

Drew DuncanDavid B. Leep

algebraic number theoryapplied mathematicspure mathematicsadditive sextic formsmathematicsmathematical sciences

Splitting Quaternion Algebras Defined Over a Finite Field Extension. Journal of Algebra and Its Applications (2020)

Karim Johannes BecherFatma Kader Bi̇ngölDavid B. Leep

finite field extensionapplied mathematicsquaternion algebrasabstract algebragroup theorycommutative algebrafinite fieldshomological algebraapplied algebraalgebraclifford algebraslinear algebra

1
2
3
4
5
10 / page

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mathematics

logic in computer science

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mathematics

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applied mathematics

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mathematics education

discrete structure

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