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Mathematician Resume Samples
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0-5 years of experience
Completed five tours in offices around agency including: cryptanalysis of algorithms, cryptographic design, and mathematical research
- Designed block cipher that is approved to protect information up to Top Secret
- Analyzed a variety of cryptographic algorithms for both Signals Intelligence and Information Assurance applications
- Authored 4 research papers in cryptographic design and cryptanalysis
- Multiple achievement and annual performance bonus awards
10+ years of experience
During this period of time held positions of Supervisory Computer Programmer Analyst, Computer Systems Programmer, Operations Research Analyst, and Mathematician
- Supervised computer programmers who developed and maintained several systems in support of the Air Force logistics centers.
- Supervised programmers who successfully completed rehosting several legacy systems from the Cyber mainframe to the Amdahl (IBM based) mainframe
- Supervised technicians who were responsible for the day to day running and operations of several mainframe based computer systems
- Responsible for capacity planning and management for IBM and Cyber mainframes
- Designed, developed, maintained and documented several computer programs written in COBOL and FORTRAN
- Designed training regimen for newly hired computer programmers
6-10 years of experience
Managed a team that developed shipyard test software using life cycle management that statistically analyzed Trident II missile, ship, and support software problems during shipyard testing.
- Provided life cycle analysis of shipyard tests using ISPF (Interactive System Productivity Facility) based statistical and analysis tools on the IBM mainframe computer.
- Designed software applications on the IBM personal computers.
- Developed test procedures.
- Performed onsite testing, and interfaced with contractors and vendors
- Analyzed, designed, and programmed computer generated FORTRAN models that simulated missile, navigation, and reentry systems in support of SP 205.
6-10 years of experience
Designed Mathematical modeling of welding for industry operations.
- Modeled process of hydrogen diffusion in welding
- Defined a system of nonlinear differential equations for processes and created algorithm solutions
- Utilized Czochralski process of crystal growth for lasers use in industry.
- Applied methods of Numerical Analysis in crystal growth results.
- Supervised and mentored team of mathematicians and technicians regarding analytic best practices.
- Received numerous awards and recognitions from the head of state of Soviet Union.
6-10 years of experience
Lead research and development of sparse linear and iterative solvers for use by all products, and responsible for installation of a whole linear solver library.
- Re-engineered the default direct solver used by SmartSpice, with resulting average speed increase by 3 to 10 times
- Developed innovative data structures for storing and processing unstructured sparse matrices in solvers of linear systems.
- Improved the scalability and robustness of multithreaded direct solvers and advised on MPI programming for a distributed iterative solver.
- Added extended-precision floating point capability to all C++ solvers.
- Improved the accuracy of SmartSpice simulations by using numerical analysis.
- Improved eigenvalue solvers used for laser modeling.
6-10 years of experience
- Designed and analyzed mathematical features for casino games, ensuring engaging game play as well as absolute accuracy.
- Wrote simulation software in C++ to support theoretical findings.
- Performed statistical analysis of game performance and characteristics.
- Used data mining and statistical tools to analyze and optimize performance of casino floors, including several high profile Las Vegas properties.
0-5 years of experience
- Built statistical models for the software development process as part of the CMMI ML4 certification process that helped to secure a $100 million dollar government contract
- Engineered a drug price analytical measure to capture wide-magnitude deviations and anomalous pricing behavior of prescription drugs
- Utilized Monte Carlo simulations in Crystal Ball and statistical software packages JMP and Minitab to analyze process data for software development
- Developed a time series models that utilized cluster analysis and demographic dynamics to predict the expected PDE consumption for over 30 million Medicare Part D beneficiaries
- Wrote, ran and developed SQL queries to extract tabulated data from Center of Medicare and Medicaid Services (CMS) databases for use in statistical analysis and monthly reports
- Utilized Excel and Access with VBA to construct tabulate reports for CMS and for internal use
- Assisted in the development of business analytics and predictive models for use by clients in Microstrategy
0-5 years of experience
- Designed and administered pension plans, including money purchase, profit-sharing, 401(k) and defined benefit plans.
- Performed valuations of client portfolios and allocated earnings, losses, dividends and forfeitures among individual participants.
- Produced and analyzed discrimination testing to ensure clients were in compliance with all IRS regulations while still maximizing eligible contributions for key employees.
0-5 years of experience
Conducted research, developed analytical models and methodologies, and provided implementation recommendations for simulation, technology products for development, commercialization, and publication
- Developed and maintained documentation of methodologies
- Provided mathematical support to engineering and product development teams
- Worked closely with the customers to set priorities for the development of simulation software
- Wrote technical proposals, reports, and research papers for publication
0-5 years of experience
ABRCMS is the largest multidisciplinary national student conference designed to award biomedical sciences including mathematics for their summer research.
- Collaborated with research team
- Investigated important properties, patterns, and applications of the mathematical Fibonacci numbers.
- Applied mathematical principles to research development of Fibonacci nature’s numbering system and apply to the growth of living things, including cells, petals on a flower, wheat and pine cones.
6-10 years of experience
Analyzed several fielded systems for cryptographic vulnerabilities. Found several cryptographic vulnerabilities in systems that had been deemed secure by other experts. Demonstrated the cryptographic vulnerabilities and documented results in papers and notes for others to understand, enhancing the knowledge base of the office. Received several awards from both management as well as from the customer for providing timely analysis and for the quality of the results.
- Developed and wrote several statistical programs that analyzed network availability. These programs determined how best to fix a broken network. This work resulted in the team winning an agency award given out yearly to the project with the most impact.
- Developed several statistical tests to look for structure within otherwise random data. Used C programming language to program several of these tests to run as quickly as possible on the architecture provided. Aided the user in understanding what the results meant by explaining anomalies in the output.
- Managed two distinct groups of 10-12 mathematics and computer science college students for twelve weeks during two distinct summers. Introduced the students to a variety of agency problems and mentored the students on how to attack the problems.
0-5 years of experience
Performed all-source analysis and produced intelligence products on current and future characteristics and performance of foreign naval technologies. Intelligence products ranged from short executive presentations to 50+ page baseline assessments.
- Modeling lead on team tasked with the development of modeling and simulation capability for the command using Naval Simulation System (NSS).
- Developed and presented intelligence assessments to senior military and congressional leaders to support high-level policy decisions.
- Initiated the development of a base profile for the Tripwire Analytic Capability (TAC) system, which provides all-source intelligence information. Solicited the inputs of the entire division, organized the responses, and developed the Submarine Platforms base model in collaboration with the developer of the tool. Developed a structure that enables other members of the division to more quickly progress from newly trained TAC users to avid consumers of the data.
0-5 years of experience
Developed analytical tactical and strategic strategy for banking vertical
- Managed 3 data scientists
- Responsible for training 6 junior analysts on SAS programming fundamentals
- Subject matter expert on all big data projects for all vertical clients ranging from banking, retail,
- Developed, validated and scored machine learning algorithms. Algorithms used for segmentation
- Development of campaign design, sample selection techniques and post campaign cell analysis
- Developed extensive internal relationship with IT, Operations and Client Services
- Involved in frequent presentations with internal senior management and leadership on the client side
0-5 years of experience
Led and managed a team of GPS Post-Processing analysts.
- Analyzed/processed GPS and inertial navigation unit data from high dynamic aircraft tests and develop TSPI data products.
- Reviewed/maintained Quality Assurance through all aspects of data production
- Land Range representative between other military Ranges to review/test/evaluate new GPS products and processing software
- Review, maintained, and/or developed streamline data production processes to meet both timeliness and accuracies
6-10 years of experience
Hired as a member of the Operations Research Team.
- Collected and analyzed different types of flight data
- Analyzed the feasibility of reducing the vertical separations of air traffic to 100,000 feet.
- Developed software to perform the vertical separation analysis.
- Worked as Hispanic Employment Program Manager
0-5 years of experience
Develop interesting lesson plans to meet academic, intellectual, and social needs of students
- Administer and correct tests and quizzes in a timely manner
- Prepare individualize education plans based on the students’ ability level
- Establish positive relationships with students, parents, fellow teachers and school
0-5 years of experience
Began development of a 3D discontinuous Galerkin, discrete ordinates code for polarized radiative transfer, to be used in remote sensing applications.
- Developed GPU accelerated sparse matrix-vector multiplication routines for use in Krylov solvers.
- Developed spherical-wavelet filter to de-noise aerosol optical depth data used in climate modeling.
- Wrote three SBIR proposals that were funded by NASA, the Navy and the Air Force.
0-5 years of experience
Performed mathematics in respect to the game BINGO
- Worked directly with the Vice President to attempt to derive an overall formula for BINGO
- Worked extensively with Excel and other programs
- Constructed help documents for casinos which enabled casino employees to use [company name] BINGO programs
- Held regular meetings with the President / Founder of [company name] to discuss my ideas and achievements
10+ years of experience
- Carried out spatial analysis and predictive machine learning to estimate human exposure to pollutants and identify at-risk populations. Assisted clients in comparing this with health data from Duke Hospital.
- Designed and coded a multi-pathway Monte Carlo statistical model predicting human exposure to pollutants. Written in SAS, the model combines diverse data sources and can generate billions of records for analysis.
- Statistically characterized the stability of pollutant samples, giving researchers much greater flexibility in collecting and storing samples.
- Supported data-driven sample site selection programs, carried out air quality sampling at Ground Zero.
0-5 years of experience
- Primarily responsible for algorithmic and cryptographic issues and involved with the rapid development of internet based e-commerce prototypes. Utilized tools widely applicable to other web projects such as HTML, DHTML, JavaScript, Java, and CGI scripting.
- Developed a prototype client-server system to securely download, print, and verify postage in the mail stream. Holder of the U.S. patent for the cryptographic protocol upon which the security of the system is based.
- Developed a prototype system to facilitate online bill presentment and bill payment. This system was built on top of Escher Group’s core product in order to illustrate the product’s extensibility and adaptability to other business applications.
- Conducted research to strengthen and subsequently demonstrate through white papers the company’s knowledge and expertise in smart cards, electronic cash systems, and network algorithms.
0-5 years of experience
Obtained Secret level security clearance
- Co-authored multiple government reports detailing crew blast data
- Worked on the M-ATV project for use of the MRAP vehicle in Afghanistan
- Statistically analyzed shock and response data in an effort to recommend the safest option for the occupants survivability
6-10 years of experience
- Graduated from Cryptologic Mathematics Program in 2009.
- Employed satisfiability to prove validity of cryptographic systems.
- Used state-of-the-art graph algorithms to investigate structure of contact networks. Found structure which was used to identify areas of interest.
- Evaluated several years of scientometric data to find new trends in technology research. This involved analysis of giant network graph using several types of clustering algorithms. Managed computer science interns as part of this project.
- Created graph clustering algorithm to extract vital content from enormous amounts of data.
- New content found by algorithm resulted in funding for brand new question-focused database, and creation of several new government careers.
- Published 4 classified papers internally.
- Presented modification of classified algorithm at conferences focused on Satisfiability.
- Maintains Top-Secret ECI Clearance.
0-5 years of experience
- Wrote a technical paper of results
- Presented formal talks to the NSA crypto-mathematics community
- Worked to exploit foreign communications
- Studied language modeling and statistical analysis
- Developed general computer programming skills and learned C
0-5 years of experience
Performance analysis department
- Evaluated post flight trajectories of missiles
- Used statistical tools to determine maximum likelihood estimation of reconstruction
- Participated in the Minuteman Growth Vehicle Study
6-10 years of experience
- Provide reports and analysis for customers.
- Create renewal packages for Underwriting and Group offices to present to employer groups.
- Do various ad hoc and scheduled reports for various customers.
- Create graphical information and reporting packages.
- Provide explanations concerning statistical computations and procedures required to properly develop and report data.
- Perform data interpretation, analysis and problem resolution.
0-5 years of experience
- Coordinated a more efficiently run department through the fostering of relationships between math department members as well as repairing relationships with manufacturers
- Daily work with Microsoft Excel including extensive experience with VLOOKUP and Macro functions
- Frequent interaction with clients, regulators, and co-workers requiring professional presentation of technical information, often needing to translate technical findings to a variety of audiences while maintaining data quality.
0-5 years of experience
Calculate theoretical values of slot machines
- Develop new game ideas
- Convert Class III games to Class II
- Code slot machines prototypes
- Develop game code to run on slot platform
- Create reports on latest games seen at trade shows (NIGA/G2E)
- Reverse engineer/analyze successful competitor games
- Generate and analyze key game metrics
0-5 years of experience
Advanced problem solving and research
- Quick, efficient on-the-job learning
- Communicating technical information in a proficient manner
- Work with interdisciplinary teams on mission related problems
Mathematician Duties and Responsibilities
Mathematicians spend their time analyzing data and solving mathematical problems to assist teams in other industries. A mathematician’s duties typically involve:
Performing Calculations Day to day, the majority of a mathematician’s job is performing calculations relevant to their current project. This typically involves working with people in other fields, such as chemists or industrial designers, to test techniques.
Applying Theories to Experiments Mathematicians apply theories to a range of practical problems in fields such as business, science, or engineering. From these theories, mathematicians can then develop new concepts and rules by combining this knowledge with their own theories.
Conducting Mathematical Research This role involves conducting research to build on the knowledge already developed in areas such as algebra, logic, or geometry. This might include reading professional journals, networking with other people in the field, and attending conferences to learn about the latest trends.
Designing Math Methods Mathematicians design and develop new methods to solve issues in science, engineering, or other related industries. This might include performing experiments to find the ideal results of their theory.
Performing Analysis Mathematicians perform numerical analysis of data and use their findings to resolve scientific or engineering issues. This involves drawing conclusions from data and looking for patterns to prove or disprove theories, then reporting on them.
Mathematician Skills and Qualifications
Mathematicians should have a head for numbers and be able to analyze data to solve problems and develop techniques. This role typically requires a master’s degree or higher in mathematics or statistics, as well as the following abilities:
- Analytical skills – mathematicians use analytical models to examine data. They need to be able to choose the right software for the task and understand computer programming languages to develop new models
- Numerical aptitude – this role requires an excellent knowledge of statistics, algebra, and calculus in order to solve and develop mathematical problems and techniques
- Problem-solving abilities – a large proportion of a mathematician’s job is to solve equations and math issues. This requires the ability to troubleshoot and come up with solutions to various problems
- Communication skills – to be successful in this role, mathematicians need to convey complex information and theories to people of varying levels of understanding, which requires strong communication skills
- Critical thinking – mathematicians need strong critical thinking abilities in order to solve complex problems and find solutions to math issues
- Attention to detail – mathematics is very detail-oriented and requires precision and accuracy. Mathematicians should have keen attention to detail in order to spot errors or patterns in theories and equations
Mathematician Education and Training
Mathematicians are typically required to have at least two to four years’ experience along with at least a bachelor’s degree in mathematics, statistics, or a related subject. However, more commonly, companies expect applicants to have a master’s degree or higher, as well as some computer programming experience as mathematicians often work with data analysis software.
Mathematician Salary and Outlook
The median annual salary for mathematicians is nearly $106,000. The lowest 10 percent earn less than $54,000, while the highest 10 percent earn more than $160,000 annually. A quarter of professionals in this sector don’t receive benefits, but a large majority receive medical and dental coverage. The Bureau of Labor Statistics predicts this sector to grow by 33 percent through 2026, which is much faster than average for all occupations.
Mathematician Helpful Resources
Mathematics is a broad subject and there are new skills to learn every day. We’ve compiled a few of the best resources to help you develop your knowledge and keep you informed:
American Mathematical Society – the AMS aims to promote mathematical research and how it’s used. The society’s blog examines everything math-related, from data science and number theory to current events
A Mathematician’s Survival Guide – from choosing a program to passing exams and writing your thesis, this detailed guide aims to help students navigate graduate school and the early stages of their career
The Principles of Mathematical Analysis – a popular text that provides a solid foundation to mathematical analysis, this book is aimed at undergraduate and first-year graduate students. It covers differentiation, integration, and interesting exercises to help develop your knowledge
The Aperiodical – people with an interest in math and who want to learn more will value the posts here, which are interesting, often fun, and ideal for the mathematically literate
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Last edited by: Gabriela Barcenas, CONTENT STRATEGIST -
Gabriela Barcenas
CONTENT STRATEGISTGabriela is a Certified Professional Resume Writer (CPRW) and career adviser. With 10 years of digital media experience and five years of resume writing expertise, her publication history includes fashion, education, travel, social justice, equitable design and career advice.
