What is he best known for?
The fields of study he is best known for:
- Algebra
- Mathematical analysis
- Law
His primary scientific interests are in Pure mathematics, Chromatography, Isoelectric focusing, Algebra and Algebraic number field.
His Pure mathematics research incorporates themes from Quaternion, Cusp, Infinite horizon, Heegner point and Calculus.
His work on Fractionation and Electrophoresis as part of general Chromatography research is frequently linked to Isoelectric point, bridging the gap between disciplines.
As part of his studies on Algebra, he often connects relevant subjects like Convolution.
His Algebraic number field research incorporates elements of Number theory, Algebra over a field and Automorphic form.
Philippe Michel interconnects Albumin and Peptide in the investigation of issues within Proteome.
His most cited work include:
- On the Transversality Condition in Infinite Horizon Optimal Problems (235 citations)
- The subconvexity problem for GL2 (209 citations)
- The subconvexity problem for GL2 (209 citations)
What are the main themes of his work throughout his whole career to date?
Pure mathematics, Microeconomics, Combinatorics, Overlapping generations model and Mathematical economics are his primary areas of study.
His work carried out in the field of Pure mathematics brings together such families of science as Trace and Modulo.
His Trace study combines topics in areas such as Bounded function and Finite field.
His Microeconomics research is multidisciplinary, incorporating elements of Capital, Consumption and Pollution.
Social security and Labour economics is closely connected to Endogenous growth theory in his research, which is encompassed under the umbrella topic of Overlapping generations model.
His Automorphic form research is within the category of Algebra.
He most often published in these fields:
- Pure mathematics (18.18%)
- Microeconomics (13.26%)
- Combinatorics (9.47%)
What were the highlights of his more recent work (between 2010-2020)?
- Pure mathematics (18.18%)
- Trace (6.44%)
- Finite field (5.30%)
In recent papers he was focusing on the following fields of study:
Philippe Michel spends much of his time researching Pure mathematics, Trace, Finite field, Modular form and Kloosterman sum.
His biological study focuses on Automorphic form.
Trace is a subfield of Algebra that Philippe Michel studies.
In Finite field, Philippe Michel works on issues like Riemann hypothesis, which are connected to Discrete mathematics.
His Modular form research is multidisciplinary, relying on both Prime, Equidistributed sequence, Extension, Fourier series and Geodesic.
His work carried out in the field of Kloosterman sum brings together such families of science as Monodromy, Bilinear form and Holomorphic function.
Between 2010 and 2020, his most popular works were:
- Algebraic trace functions over the primes (60 citations)
- Algebraic twists of modular forms and Hecke orbits (55 citations)
- Distribution of periodic torus orbits and Duke's theorem for cubic fields (50 citations)
In his most recent research, the most cited papers focused on:
- Algebra
- Mathematical analysis
- Law
His scientific interests lie mostly in Pure mathematics, Modular form, Finite field, Kloosterman sum and Riemann hypothesis.
Philippe Michel works on Pure mathematics which deals in particular with Holomorphic function.
His Modular form study integrates concerns from other disciplines, such as Fourier series and Extension.
His biological study spans a wide range of topics, including Trace, Bounded function and Fourier transform.
His Kloosterman sum study combines topics from a wide range of disciplines, such as Monodromy, Bilinear form and Modulo.
Philippe Michel works mostly in the field of Riemann hypothesis, limiting it down to topics relating to Algebraic number and, in certain cases, Type and Hecke operator, as a part of the same area of interest.
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